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10606434100 = 2252241440101
BaseRepresentation
bin10011110000011000…
…10101011100110100
31000101011212200022121
421320030111130310
5133210221342400
64512244405324
7523560126253
oct117014253464
930334780277
1010606434100
114553067a19
1220800a6844
131000529812
1472890279a
1542124c21a
hex278315734

10606434100 has 36 divisors (see below), whose sum is σ = 23111516428. Its totient is φ = 4224960000.

The previous prime is 10606434089. The next prime is 10606434101. The reversal of 10606434100 is 143460601.

It can be written as a sum of positive squares in 6 ways, for example, as 713744656 + 9892689444 = 26716^2 + 99462^2 .

It is a super-2 number, since 2×106064341002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10606434101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195951 + ... + 244150.

Almost surely, 210606434100 is an apocalyptic number.

10606434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10606434100 is an abundant number, since it is smaller than the sum of its proper divisors (12505082328).

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

10606434100 is a wasteful number, since it uses less digits than its factorization.

10606434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440356 (or 440349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10606434100 its reverse (143460601), we get a palindrome (10749894701).

The spelling of 10606434100 in words is "ten billion, six hundred six million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 440101 880202 1760404 2200505 4401010 8802020 11002525 22005050 44010100 106064341 212128682 424257364 530321705 1060643410 2121286820 2651608525 5303217050 10606434100