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10100130120 = 23325242311579
BaseRepresentation
bin10010110100000001…
…11100000101001000
3222001220011202211100
421122000330011020
5131141113130440
64350120501400
7505201455333
oct113200740510
928056152740
1010100130120
114313295283
121b5a61a860
13c4c678272
146bb58961a
153e1a8b230
hex25a03c148

10100130120 has 96 divisors (see below), whose sum is σ = 32841806400. Its totient is φ = 2692023936.

The previous prime is 10100130101. The next prime is 10100130127. The reversal of 10100130120 is 2103100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100130127) 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, 866491 + ... + 878069.

It is an arithmetic number, because the mean of its divisors is an integer number (342102150).

Almost surely, 210100130120 is an apocalyptic number.

10100130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100130120 is an abundant number, since it is smaller than the sum of its proper divisors (22741676280).

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

10100130120 is a wasteful number, since it uses less digits than its factorization.

10100130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14019 (or 14012 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100130120 its reverse (2103100101), we get a palindrome (12203230221).

The spelling of 10100130120 in words is "ten billion, one hundred million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2423 4846 7269 9692 11579 12115 14538 19384 21807 23158 24230 29076 34737 36345 43614 46316 48460 57895 58152 69474 72690 87228 92632 96920 104211 109035 115790 138948 145380 173685 174456 208422 218070 231580 277896 290760 347370 416844 436140 463160 521055 694740 833688 872280 1042110 1389480 2084220 4168440 28055917 56111834 84167751 112223668 140279585 168335502 224447336 252503253 280559170 336671004 420838755 505006506 561118340 673342008 841677510 1010013012 1122236680 1262516265 1683355020 2020026024 2525032530 3366710040 5050065060 10100130120