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101012011212 = 22375344351217
BaseRepresentation
bin101111000010011001…
…0001111100011001100
3100122201200220211122110
41132010302033203030
53123333033324322
6114223153544020
710204112633340
oct1360462174314
9318650824573
10101012011212
1139925713102
12176b0875010
1396aa393a48
144c63617620
152962edec0c
hex1784c8f8cc

101012011212 has 96 divisors (see below), whose sum is σ = 275072620032. Its totient is φ = 28251565056.

The previous prime is 101012011181. The next prime is 101012011237. The reversal of 101012011212 is 212110210101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946628 + ... + 1997844.

It is an arithmetic number, because the mean of its divisors is an integer number (2865339792).

Almost surely, 2101012011212 is an apocalyptic number.

101012011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137536310016).

101012011212 is an abundant number, since it is smaller than the sum of its proper divisors (174060608820).

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

101012011212 is a wasteful number, since it uses less digits than its factorization.

101012011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51727 (or 51725 counting only the distinct ones).

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

Adding to 101012011212 its reverse (212110210101), we get a palindrome (313122221313).

The spelling of 101012011212 in words is "one hundred one billion, twelve million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 443 636 742 886 1113 1329 1484 1772 2226 2658 3101 4452 5316 6202 9303 12404 18606 23479 37212 46958 51217 70437 93916 102434 140874 153651 164353 204868 281748 307302 328706 358519 493059 614604 657412 717038 986118 1075557 1434076 1972236 2151114 2714501 4302228 5429002 8143503 10858004 16287006 19001507 22689131 32574012 38003014 45378262 57004521 68067393 76006028 90756524 114009042 136134786 158823917 228018084 272269572 317647834 476471751 635295668 952943502 1202523943 1905887004 2405047886 3607571829 4810095772 7215143658 8417667601 14430287316 16835335202 25253002803 33670670404 50506005606 101012011212