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10101190120 = 2357148124359
BaseRepresentation
bin10010110100001001…
…11110110111101000
3222001222011121212121
421122010332313220
5131141401040440
64350155321024
7505213461610
oct113204766750
928058147777
1010101190120
11431394970a
121b5aa50174
13c4c959898
146bb783a40
153e1bea34a
hex25a13ede8

10101190120 has 64 divisors (see below), whose sum is σ = 25993094400. Its totient is φ = 3460784640.

The previous prime is 10101190111. The next prime is 10101190147. The reversal of 10101190120 is 2109110101.

It is a super-2 number, since 2×101011901202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101190094 and 10101190103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402501 + ... + 426859.

It is an arithmetic number, because the mean of its divisors is an integer number (406142100).

Almost surely, 210101190120 is an apocalyptic number.

10101190120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101190120 is an abundant number, since it is smaller than the sum of its proper divisors (15891904280).

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

10101190120 is a wasteful number, since it uses less digits than its factorization.

10101190120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25858 (or 25854 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 10101190120 in words is "ten billion, one hundred one million, one hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1481 2962 5924 7405 10367 11848 14810 20734 24359 29620 41468 48718 51835 59240 82936 97436 103670 121795 170513 194872 207340 243590 341026 414680 487180 682052 852565 974360 1364104 1705130 3410260 6820520 36075679 72151358 144302716 180378395 252529753 288605432 360756790 505059506 721513580 1010119012 1262648765 1443027160 2020238024 2525297530 5050595060 10101190120