[go: up one dir, main page]

Search a number
-
+
211053045 = 35731719127
BaseRepresentation
bin11001001010001…
…10100111110101
3112201010121100110
430211012213311
5413012144140
632535333233
75141631000
oct1445064765
9481117313
10211053045
11a9152305
125a821219
1334957278
142005c537
15137de380
hexc9469f5

211053045 has 128 divisors (see below), whose sum is σ = 442368000. Its totient is φ = 85349376.

The previous prime is 211053043. The next prime is 211053047. The reversal of 211053045 is 540350112.

It is an interprime number because it is at equal distance from previous prime (211053043) and next prime (211053047).

It is not a de Polignac number, because 211053045 - 21 = 211053043 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211053043) 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, 1661772 + ... + 1661898.

It is an arithmetic number, because the mean of its divisors is an integer number (3456000).

Almost surely, 2211053045 is an apocalyptic number.

It is an amenable number.

211053045 is an abundant number, since it is smaller than the sum of its proper divisors (231314955).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211053045 is a wasteful number, since it uses less digits than its factorization.

211053045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 211053045 is about 14527.6648157920. The cubic root of 211053045 is about 595.3840657620.

It can be divided in two parts, 2110 and 53045, that added together give a palindrome (55155).

The spelling of 211053045 in words is "two hundred eleven million, fifty-three thousand, forty-five".

Divisors: 1 3 5 7 15 17 19 21 35 49 51 57 85 95 105 119 127 133 147 245 255 285 323 343 357 381 399 595 635 665 735 833 889 931 969 1029 1615 1715 1785 1905 1995 2159 2261 2413 2499 2667 2793 4165 4445 4655 4845 5145 5831 6223 6477 6517 6783 7239 10795 11305 12065 12495 13335 13965 15113 15827 16891 17493 18669 19551 29155 31115 32385 32585 33915 36195 41021 43561 45339 47481 50673 75565 79135 84455 87465 93345 97755 105791 110789 118237 123063 130683 205105 217805 226695 237405 253365 287147 317373 332367 354711 528955 553945 591185 615315 653415 740537 827659 861441 1435735 1586865 1661835 1773555 2010029 2221611 2482977 3702685 4138295 4307205 6030087 10050145 11108055 12414885 14070203 30150435 42210609 70351015 211053045