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10120220420 = 22519181147139
BaseRepresentation
bin10010110110011011…
…00100111100000100
3222010021222110112112
421123031210330010
5131211234023140
64352115240152
7505534311542
oct113315447404
928107873475
1010120220420
114323667432
121b652a9058
13c5389080b
146c00d8d92
153e3708c65
hex25b364f04

10120220420 has 48 divisors (see below), whose sum is σ = 22494763200. Its totient is φ = 3813816960.

The previous prime is 10120220417. The next prime is 10120220443. The reversal of 10120220420 is 2402202101.

It is a super-2 number, since 2×101202204202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120220395 and 10120220404.

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, 4790 + ... + 142349.

It is an arithmetic number, because the mean of its divisors is an integer number (468640900).

Almost surely, 210120220420 is an apocalyptic number.

10120220420 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 10120220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247381600).

10120220420 is an abundant number, since it is smaller than the sum of its proper divisors (12374542780).

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

10120220420 is a wasteful number, since it uses less digits than its factorization.

10120220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147348 (or 147346 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10120220420 its reverse (2402202101), we get a palindrome (12522422521).

The spelling of 10120220420 in words is "ten billion, one hundred twenty million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 181 190 362 380 724 905 1810 3439 3620 6878 13756 17195 34390 68780 147139 294278 588556 735695 1471390 2795641 2942780 5591282 11182564 13978205 26632159 27956410 53264318 55912820 106528636 133160795 266321590 506011021 532643180 1012022042 2024044084 2530055105 5060110210 10120220420