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12311310000210 = 23513591254742643
BaseRepresentation
bin1011001100100111001101…
…0000100110000001010010
31121120221122100202200010020
42303021303100212001102
53103202030330001320
642103423203444310
72410314511240404
oct263116320460122
947527570680106
1012311310000210
113a172195a3711
12146a020986696
136b3c4a7355c0
14307c28c48b74
151653a34a5940
hexb3273426052

12311310000210 has 128 divisors (see below), whose sum is σ = 32362661237760. Its totient is φ = 2978805010176.

The previous prime is 12311310000179. The next prime is 12311310000229. The reversal of 12311310000210 is 1200001311321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12311310000210.

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, 288685149 + ... + 288727791.

It is an arithmetic number, because the mean of its divisors is an integer number (252833290920).

Almost surely, 212311310000210 is an apocalyptic number.

12311310000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311310000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181330618880).

12311310000210 is an abundant number, since it is smaller than the sum of its proper divisors (20051351237550).

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

12311310000210 is a wasteful number, since it uses less digits than its factorization.

12311310000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55272.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12311310000210 its reverse (1200001311321), we get a palindrome (13511311311531).

The spelling of 12311310000210 in words is "twelve trillion, three hundred eleven billion, three hundred ten million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 590 767 885 1534 1770 2301 3835 4602 7670 11505 12547 23010 25094 37641 42643 62735 75282 85286 125470 127929 163111 188205 213215 255858 326222 376410 426430 489333 554359 639645 740273 815555 978666 1108718 1279290 1480546 1631110 1663077 2220819 2446665 2515937 2771795 3326154 3701365 4441638 4893330 5031874 5543590 7402730 7547811 8315385 9623549 11104095 12579685 15095622 16630770 19247098 22208190 25159370 28870647 32707181 37739055 48117745 57741294 65414362 75478110 96235490 98121543 144353235 163535905 196243086 288706470 327071810 490607715 535041721 981215430 1070083442 1605125163 2675208605 3210250326 5350417210 6955542373 8025625815 13911084746 16051251630 20866627119 31567461539 34777711865 41733254238 63134923078 69555423730 94702384617 104333135595 157837307695 189404769234 208666271190 315674615390 410377000007 473511923085 820754000014 947023846170 1231131000021 2051885000035 2462262000042 4103770000070 6155655000105 12311310000210