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10234645245 = 3451124572
BaseRepresentation
bin10011000100000100…
…00100101011111101
3222102021021211220000
421202002010223331
5131430032121440
64411323544513
7511424022606
oct114202045375
928367254800
1010234645245
114382210500
121b9768b139
13c714b4c06
146d13a2dad
153ed7ac730
hex262084afd

10234645245 has 90 divisors (see below), whose sum is σ = 20210265306. Its totient is φ = 4951393920.

The previous prime is 10234645237. The next prime is 10234645249. The reversal of 10234645245 is 54254643201.

10234645245 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 645 + 2 + 4 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4558680324 + 5675964921 = 67518^2 + 75339^2 .

It is not a de Polignac number, because 10234645245 - 23 = 10234645237 is a prime.

It is a super-2 number, since 2×102346452452 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234645249) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 22395057 + ... + 22395513.

Almost surely, 210234645245 is an apocalyptic number.

10234645245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10234645245 is a deficient number, since it is larger than the sum of its proper divisors (9975620061).

10234645245 is an frugal number, since it uses more digits than its factorization.

10234645245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 10234645245 in words is "ten billion, two hundred thirty-four million, six hundred forty-five thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 297 363 405 457 495 605 891 1089 1371 1485 1815 2285 3267 4113 4455 5027 5445 6855 9801 12339 15081 16335 20565 25135 37017 45243 49005 55297 61695 75405 135729 165891 185085 208849 226215 276485 407187 497673 626547 678645 829455 1044245 1493019 1879641 2035935 2297339 2488365 3132735 4479057 5638923 6892017 7465095 9398205 11486695 16916769 20676051 22395285 25270729 28194615 34460085 62028153 75812187 84583845 103380255 126353645 186084459 227436561 310140765 379060935 682309683 930422295 1137182805 2046929049 3411548415 10234645245