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10134411123012 = 22311773103396149
BaseRepresentation
bin1001001101111001100111…
…1110011001100101000100
31022212211200112110202122120
42103132121332121211010
52312020233221414022
633315403441525540
72064121104134511
oct223363176314504
938784615422576
1010134411123012
113257a8596a160
1211781499438b0
13586894b88ac7
142707183aa308
1512894518ad5c
hex93799f99944

10134411123012 has 96 divisors (see below), whose sum is σ = 25855328822400. Its totient is φ = 3064059847680.

The previous prime is 10134411123007. The next prime is 10134411123013. The reversal of 10134411123012 is 21032111443101.

It is not an unprimeable number, because it can be changed into a prime (10134411123013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105355114 + ... + 105451262.

It is an arithmetic number, because the mean of its divisors is an integer number (269326341900).

Almost surely, 210134411123012 is an apocalyptic number.

10134411123012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10134411123012 is an abundant number, since it is smaller than the sum of its proper divisors (15720917699388).

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

10134411123012 is a wasteful number, since it uses less digits than its factorization.

10134411123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97973 (or 97971 counting only the distinct ones).

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

Adding to 10134411123012 its reverse (21032111443101), we get a palindrome (31166522566113).

The spelling of 10134411123012 in words is "ten trillion, one hundred thirty-four billion, four hundred eleven million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 773 1033 1546 2066 2319 3092 3099 4132 4638 6198 8503 9276 11363 12396 17006 22726 25509 34012 34089 45452 51018 68178 96149 102036 136356 192298 288447 384596 576894 798509 1057639 1153788 1597018 2115278 2395527 3172917 3194036 4230556 4791054 6345834 8783599 9582108 12691668 17567198 26350797 35134396 52701594 74323177 99321917 105403188 148646354 198643834 222969531 297292708 297965751 397287668 445939062 595931502 817554947 891878124 1092541087 1191863004 1635109894 2185082174 2452664841 3270219788 3277623261 4370164348 4905329682 6555246522 9810659364 13110493044 76775841841 153551683682 230327525523 307103367364 460655051046 844534260251 921310102092 1689068520502 2533602780753 3378137041004 5067205561506 10134411123012