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10120010100 = 22352130325889
BaseRepresentation
bin10010110110011001…
…10001100101110100
3222010021120210000220
421123030301211310
5131211210310400
64352110534340
7505532444424
oct113314614564
928107523026
1010120010100
114323533412
121b652073b0
13c53818b75
146c0082484
153e36b67a0
hex25b331974

10120010100 has 72 divisors (see below), whose sum is σ = 29304166080. Its totient is φ = 2696494080.

The previous prime is 10120010093. The next prime is 10120010101. The reversal of 10120010100 is 101002101.

10120010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10120010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377956 + ... + 403844.

Almost surely, 210120010100 is an apocalyptic number.

10120010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120010100 is an abundant number, since it is smaller than the sum of its proper divisors (19184155980).

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

10120010100 is a wasteful number, since it uses less digits than its factorization.

10120010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27209 (or 27202 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10120010100 its reverse (101002101), we get a palindrome (10221012201).

The spelling of 10120010100 in words is "ten billion, one hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1303 2606 3909 5212 6515 7818 13030 15636 19545 25889 26060 32575 39090 51778 65150 77667 78180 97725 103556 129445 130300 155334 195450 258890 310668 388335 390900 517780 647225 776670 1294450 1553340 1941675 2588900 3883350 7766700 33733367 67466734 101200101 134933468 168666835 202400202 337333670 404800404 506000505 674667340 843334175 1012001010 1686668350 2024002020 2530002525 3373336700 5060005050 10120010100