Search a number
-
+
13031202111144 = 2337293186281067
BaseRepresentation
bin1011110110100001000000…
…1011000011111010101000
31201010202210212210000010120
42331220100023003322220
53202000400220024034
643414241314043240
72513321223230430
oct275502013037250
951122725700116
1013031202111144
114174557961708
12156564b279520
13736ab6103889
143309dbd8d2c0
15178e88ab6c49
hexbda102c3ea8

13031202111144 has 128 divisors (see below), whose sum is σ = 39758316134400. Its totient is φ = 3478852581120.

The previous prime is 13031202111143. The next prime is 13031202111149. The reversal of 13031202111144 is 44111120213031.

It is a super-2 number, since 2×130312021111442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13031202111143) 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, 42989502 + ... + 43291565.

It is an arithmetic number, because the mean of its divisors is an integer number (310611844800).

Almost surely, 213031202111144 is an apocalyptic number.

13031202111144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13031202111144 is an abundant number, since it is smaller than the sum of its proper divisors (26727114023256).

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

13031202111144 is a wasteful number, since it uses less digits than its factorization.

13031202111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86281143 (or 86281139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13031202111144 its reverse (44111120213031), we get a palindrome (57142322324175).

The spelling of 13031202111144 in words is "thirteen trillion, thirty-one billion, two hundred two million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 812 868 899 1218 1302 1624 1736 1798 2436 2604 2697 3596 4872 5208 5394 6293 7192 10788 12586 18879 21576 25172 37758 50344 75516 151032 86281067 172562134 258843201 345124268 517686402 603967469 690248536 1035372804 1207934938 1811902407 2070745608 2415869876 2502150943 2674713077 3623804814 4831739752 5004301886 5349426154 7247609628 7506452829 8024139231 10008603772 10698852308 14495219256 15012905658 16048278462 17515056601 18722991539 20017207544 21397704616 30025811316 32096556924 35030113202 37445983078 52545169803 56168974617 60051622632 64193113848 70060226404 74891966156 77566679233 105090339606 112337949234 140120452808 149783932312 155133358466 210180679212 224675898468 232700037699 310266716932 420361358424 449351796936 465400075398 542966754631 620533433864 930800150796 1085933509262 1628900263893 1861600301592 2171867018524 3257800527786 4343734037048 6515601055572 13031202111144