[go: up one dir, main page]

Search a number
-
+
1022140119 = 37113132997
BaseRepresentation
bin111100111011001…
…001111011010111
32122020100002122110
4330323021323113
54043131440434
6245232002103
734221022230
oct7473117327
92566302573
101022140119
11484a76000
12246390333
131339bc750
1499a72087
155eb064e9
hex3cec9ed7

1022140119 has 128 divisors (see below), whose sum is σ = 1928263680. Its totient is φ = 468357120.

The previous prime is 1022140073. The next prime is 1022140121. The reversal of 1022140119 is 9110412201.

It is a happy number.

It is not a de Polignac number, because 1022140119 - 211 = 1022138071 is a prime.

It is a super-2 number, since 2×10221401192 = 2089540845738668322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1022140095 and 1022140104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022140199) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10537479 + ... + 10537575.

It is an arithmetic number, because the mean of its divisors is an integer number (15064560).

Almost surely, 21022140119 is an apocalyptic number.

1022140119 is a deficient number, since it is larger than the sum of its proper divisors (906123561).

1022140119 is a wasteful number, since it uses less digits than its factorization.

1022140119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1022140119 is about 31970.9261517398. The cubic root of 1022140119 is about 1007.3262348738.

It can be divided in two parts, 1022 and 140119, that added together give a palindrome (141141).

The spelling of 1022140119 in words is "one billion, twenty-two million, one hundred forty thousand, one hundred nineteen".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 97 121 143 203 231 273 291 319 363 377 429 609 679 847 957 1001 1067 1131 1261 1331 1573 2037 2233 2541 2639 2813 3003 3201 3509 3783 3993 4147 4719 6699 7469 7917 8439 8827 9317 10527 11011 11737 12441 13871 17303 19691 22407 24563 26481 27951 29029 30943 33033 35211 36569 38599 41613 45617 51909 59073 73689 82159 87087 92829 97097 109707 115797 121121 129107 136851 152581 216601 246477 255983 270193 291291 319319 340373 363363 387321 402259 457743 501787 649803 767949 810579 903749 957957 1021119 1068067 1206777 1505361 1678391 2382611 2711247 2815813 3204201 3512509 3744103 4424849 5035173 7147833 8447439 10537527 11232309 11748737 13274547 26208721 30973943 35246211 48673339 78626163 92921829 146020017 340713373 1022140119