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2052172100 = 2252112315471
BaseRepresentation
bin111101001010001…
…1010100101000100
312022000112010220002
41322110122211010
513200324001400
6535345100432
7101566114016
oct17224324504
95260463802
102052172100
11963441300
12493327718
13269213324
1415679a1b6
15c026aed5
hex7a51a944

2052172100 has 108 divisors (see below), whose sum is σ = 5053676544. Its totient is φ = 722040000.

The previous prime is 2052172099. The next prime is 2052172123. The reversal of 2052172100 is 12712502.

It is a super-2 number, since 2×20521721002 = 8422820656036820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372365 + ... + 377835.

Almost surely, 22052172100 is an apocalyptic number.

2052172100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052172100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526838272).

2052172100 is an abundant number, since it is smaller than the sum of its proper divisors (3001504444).

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

2052172100 is a wasteful number, since it uses less digits than its factorization.

2052172100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 2052172100 is about 45300.9061719520. The cubic root of 2052172100 is about 1270.7825998798.

Adding to 2052172100 its reverse (12712502), we get a palindrome (2064884602).

The spelling of 2052172100 in words is "two billion, fifty-two million, one hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 121 124 155 220 242 275 310 341 484 550 605 620 682 775 1100 1210 1364 1550 1705 2420 3025 3100 3410 3751 5471 6050 6820 7502 8525 10942 12100 15004 17050 18755 21884 27355 34100 37510 54710 60181 75020 93775 109420 120362 136775 169601 187550 240724 273550 300905 339202 375100 547100 601810 661991 678404 848005 1203620 1323982 1504525 1696010 1865611 2647964 3009050 3309955 3392020 3731222 4240025 6018100 6619910 7462444 8480050 9328055 13239820 16549775 16960100 18656110 20521721 33099550 37312220 41043442 46640275 66199100 82086884 93280550 102608605 186561100 205217210 410434420 513043025 1026086050 2052172100