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120100211010 = 232513731406161
BaseRepresentation
bin110111111011010000…
…1111100100101000010
3102110222222201212011100
41233312201330211002
53431431123223020
6131101232155230
711451123643533
oct1576641744502
9373888655140
10120100211010
1146a3049013a
121b339398b16
13b42cba2c20
145b5479068a
1531cdb9ca90
hex1bf687c942

120100211010 has 96 divisors (see below), whose sum is σ = 340887416688. Its totient is φ = 29158133760.

The previous prime is 120100210991. The next prime is 120100211027. The reversal of 120100211010 is 10112001021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74704369041 + 45395841969 = 273321^2 + 213063^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120100210983 and 120100211001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617671 + ... + 788490.

Almost surely, 2120100211010 is an apocalyptic number.

120100211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120100211010 is an abundant number, since it is smaller than the sum of its proper divisors (220787205678).

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

120100211010 is a wasteful number, since it uses less digits than its factorization.

120100211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406260 (or 1406257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100211010 its reverse (10112001021), we get a palindrome (130212212031).

The spelling of 120100211010 in words is "one hundred twenty billion, one hundred million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 73 78 90 117 130 146 195 219 234 365 390 438 585 657 730 949 1095 1170 1314 1898 2190 2847 3285 4745 5694 6570 8541 9490 14235 17082 28470 42705 85410 1406161 2812322 4218483 7030805 8436966 12655449 14061610 18280093 21092415 25310898 36560186 42184830 54840279 63277245 91400465 102649753 109680558 126554490 164520837 182800930 205299506 274201395 307949259 329041674 513248765 548402790 615898518 822604185 923847777 1026497530 1334446789 1539746295 1645208370 1847695554 2668893578 3079492590 4003340367 4619238885 6672233945 8006680734 9238477770 12010021101 13344467890 20016701835 24020042202 40033403670 60050105505 120100211010