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10001100110100 = 22352113030636397
BaseRepresentation
bin1001000110001001000000…
…0001001111100100010100
31022102002120212021122011220
42101202100001033210110
52302324223112010400
633134235244130340
72051361404206341
oct221422001174424
938362525248156
1010001100110100
113206496314020
1211563442369b0
1357713b047348
142680ad2997c8
151252417eb7a0
hex9189004f914

10001100110100 has 72 divisors (see below), whose sum is σ = 31567108721568. Its totient is φ = 2424509116800.

The previous prime is 10001100110047. The next prime is 10001100110107. The reversal of 10001100110100 is 101100110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100110107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1515314899 + ... + 1515321498.

Almost surely, 210001100110100 is an apocalyptic number.

10001100110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001100110100 is an abundant number, since it is smaller than the sum of its proper divisors (21566008611468).

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

10001100110100 is a wasteful number, since it uses less digits than its factorization.

10001100110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030636425 (or 3030636418 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001100110100 its reverse (101100110001), we get a palindrome (10102200220101).

Subtracting from 10001100110100 its reverse (101100110001), we obtain a palindrome (9900000000099).

The spelling of 10001100110100 in words is "ten trillion, one billion, one hundred million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3030636397 6061272794 9091909191 12122545588 15153181985 18183818382 30306363970 33337000367 36367636764 45459545955 60612727940 66674000734 75765909925 90919091910 100011001101 133348001468 151531819850 166685001835 181838183820 200022002202 227297729775 303063639700 333370003670 400044004404 454595459550 500055005505 666740007340 833425009175 909190919100 1000110011010 1666850018350 2000220022020 2500275027525 3333700036700 5000550055050 10001100110100