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153400200261 = 371117912013089
BaseRepresentation
bin1000111011011101011…
…1010100110001000101
3112122221201112120202120
42032313113110301011
510003130422402021
6154245430400153
714040254121360
oct2166727246105
9478851476676
10153400200261
115a069460a10
1225891500059
1311608b45489
1475d31b10d7
153ecc3762c6
hex23b75d4c45

153400200261 has 64 divisors (see below), whose sum is σ = 256724121600. Its totient is φ = 79151616000.

The previous prime is 153400200167. The next prime is 153400200263. The reversal of 153400200261 is 162002004351.

It is not a de Polignac number, because 153400200261 - 222 = 153396005957 is a prime.

It is a super-2 number, since 2×1534002002612 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153400200263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49658605 + ... + 49661693.

It is an arithmetic number, because the mean of its divisors is an integer number (4011314400).

Almost surely, 2153400200261 is an apocalyptic number.

153400200261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153400200261 is a deficient number, since it is larger than the sum of its proper divisors (103323921339).

153400200261 is a wasteful number, since it uses less digits than its factorization.

153400200261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 153400200261 in words is "one hundred fifty-three billion, four hundred million, two hundred thousand, two hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 179 231 537 1201 1253 1969 3089 3603 3759 5907 8407 9267 13211 13783 21623 25221 33979 39633 41349 64869 92477 101937 214979 237853 277431 552931 644937 713559 1504853 1658793 2364769 3709889 3870517 4514559 6082241 7094307 11129667 11611551 16553383 18246723 25969223 40808779 42575687 49660149 77907669 122426337 127727061 285661453 664070131 856984359 1992210393 4648490917 7304771441 13945472751 21914314323 51133400087 153400200261