Search a number
-
+
31044046110 = 23571154124841
BaseRepresentation
bin11100111010010111…
…101000110100011110
32222010111211221101120
4130322113220310132
51002034233433420
622132245351410
72146205016030
oct347227506436
988114757346
1031044046110
1112190611360
126024708566
132c0978466c
141706d7dc50
15c1a60ad40
hex73a5e8d1e

31044046110 has 128 divisors (see below), whose sum is σ = 93065683968. Its totient is φ = 6438528000.

The previous prime is 31044046091. The next prime is 31044046141. The reversal of 31044046110 is 1164044013.

It is a super-2 number, since 2×310440461102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1237290 + ... + 1262130.

It is an arithmetic number, because the mean of its divisors is an integer number (727075656).

Almost surely, 231044046110 is an apocalyptic number.

31044046110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31044046110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46532841984).

31044046110 is an abundant number, since it is smaller than the sum of its proper divisors (62021637858).

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

31044046110 is a wasteful number, since it uses less digits than its factorization.

31044046110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25410.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 31044046110 in words is "thirty-one billion, forty-four million, forty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 541 770 1082 1155 1623 2310 2705 3246 3787 5410 5951 7574 8115 11361 11902 16230 17853 18935 22722 24841 29755 35706 37870 41657 49682 56805 59510 74523 83314 89265 113610 124205 124971 149046 173887 178530 208285 248410 249942 273251 347774 372615 416570 521661 546502 624855 745230 819753 869435 1043322 1249710 1366255 1639506 1738870 1912757 2608305 2732510 3825514 4098765 5216610 5738271 8197530 9563785 11476542 13438981 19127570 26877962 28691355 40316943 57382710 67194905 80633886 94072867 134389810 147828791 188145734 201584715 282218601 295657582 403169430 443486373 470364335 564437202 739143955 886972746 940728670 1034801537 1411093005 1478287910 2069603074 2217431865 2822186010 3104404611 4434863730 5174007685 6208809222 10348015370 15522023055 31044046110