Search a number
-
+
10556622120 = 23351143185987
BaseRepresentation
bin10011101010011100…
…10100010100101000
31000020201010222010110
421311032110110220
5133104443401440
64503305014320
7522413543652
oct116516242450
930221128113
1010556622120
114527a354a0
1220674843a0
13cc3108b85
147220576d2
1541bbad080
hex275394528

10556622120 has 128 divisors (see below), whose sum is σ = 35352599040. Its totient is φ = 2499651840.

The previous prime is 10556622047. The next prime is 10556622127. The reversal of 10556622120 is 2122665501.

It is a super-2 number, since 2×105566221202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10556622127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36234 + ... + 149753.

It is an arithmetic number, because the mean of its divisors is an integer number (276192180).

Almost surely, 210556622120 is an apocalyptic number.

10556622120 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 10556622120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676299520).

10556622120 is an abundant number, since it is smaller than the sum of its proper divisors (24795976920).

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

10556622120 is a wasteful number, since it uses less digits than its factorization.

10556622120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186055 (or 186051 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10556622120 in words is "ten billion, five hundred fifty-six million, six hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 185987 371974 557961 743948 929935 1115922 1487896 1859870 2045857 2231844 2789805 3719740 4091714 4463688 5579610 6137571 7439480 7997441 8183428 10229285 11159220 12275142 15994882 16366856 20458570 22318440 23992323 24550284 30687855 31989764 39987205 40917140 47984646 49100568 61375710 63979528 79974410 81834280 87971851 95969292 119961615 122751420 159948820 175943702 191938584 239923230 245502840 263915553 319897640 351887404 439859255 479846460 527831106 703774808 879718510 959692920 1055662212 1319577765 1759437020 2111324424 2639155530 3518874040 5278311060 10556622120