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101020000111212 = 223713237192326731
BaseRepresentation
bin10110111110000010001101…
…001110001100101001101100
3111020200102021111110212120110
4112332002031032030221230
5101220102430012024322
6554503540345020020
730164311530060360
oct2676021516145154
9436612244425513
10101020000111212
112a2083835276a6
12b3b6429784610
13444a1b6b27c00
141ad357356d2a0
15ba2b66cc4c0c
hex5be08d38ca6c

101020000111212 has 144 divisors (see below), whose sum is σ = 299586581129472. Its totient is φ = 25922565976320.

The previous prime is 101020000111211. The next prime is 101020000111273. The reversal of 101020000111212 is 212111000020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101020000111211) 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 47 ways as a sum of consecutive naturals, for example, 95638114 + ... + 96688617.

Almost surely, 2101020000111212 is an apocalyptic number.

101020000111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020000111212 is an abundant number, since it is smaller than the sum of its proper divisors (198566581018260).

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

101020000111212 is a wasteful number, since it uses less digits than its factorization.

101020000111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192326808 (or 192326793 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101020000111212 its reverse (212111000020101), we get a palindrome (313131000131313).

The spelling of 101020000111212 in words is "one hundred one trillion, twenty billion, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 169 182 222 259 273 338 364 444 481 507 518 546 676 777 962 1014 1036 1092 1183 1443 1554 1924 2028 2366 2886 3108 3367 3549 4732 5772 6253 6734 7098 10101 12506 13468 14196 18759 20202 25012 37518 40404 43771 75036 87542 131313 175084 262626 525252 192326731 384653462 576980193 769306924 1153960386 1346287117 2307920772 2500247503 2692574234 4038861351 5000495006 5385148468 7116089047 7500742509 8077722702 10000990012 14232178094 15001485018 16155445404 17501732521 21348267141 28464356188 30002970036 32503217539 35003465042 42696534282 49812623329 52505197563 65006435078 70006930084 85393068564 92509157611 97509652617 99625246658 105010395126 130012870156 149437869987 185018315222 195019305234 199250493316 210020790252 227522522773 277527472833 298875739974 370036630444 390038610468 455045045546 555054945666 597751479948 647564103277 682567568319 910090091092 1110109891332 1202619048943 1295128206554 1365135136638 1942692309831 2405238097886 2590256413108 2730270273276 3607857146829 3885384619662 4810476195772 7215714293658 7770769239324 8418333342601 14431428587316 16836666685202 25255000027803 33673333370404 50510000055606 101020000111212