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10102120 = 2357109331
BaseRepresentation
bin100110100010…
…010101101000
3201000020111121
4212202111220
510041231440
61000305024
7151603150
oct46422550
921006447
1010102120
11577a966
123472174
1321291b2
1414ad760
15d4834a
hex9a2568

10102120 has 64 divisors (see below), whose sum is σ = 26294400. Its totient is φ = 3421440.

The previous prime is 10102117. The next prime is 10102139. The reversal of 10102120 is 2120101.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 30355 + ... + 30685.

It is an arithmetic number, because the mean of its divisors is an integer number (410850).

Almost surely, 210102120 is an apocalyptic number.

10102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13147200).

10102120 is an abundant number, since it is smaller than the sum of its proper divisors (16192280).

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

10102120 is a wasteful number, since it uses less digits than its factorization.

10102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10102120 is about 3178.3832368045. The cubic root of 10102120 is about 216.1743562488.

Adding to 10102120 its reverse (2120101), we get a palindrome (12222221).

The spelling of 10102120 in words is "ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 331 436 545 662 763 872 1090 1324 1526 1655 2180 2317 2648 3052 3310 3815 4360 4634 6104 6620 7630 9268 11585 13240 15260 18536 23170 30520 36079 46340 72158 92680 144316 180395 252553 288632 360790 505106 721580 1010212 1262765 1443160 2020424 2525530 5051060 10102120