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100103313223212 = 223136111393092689
BaseRepresentation
bin10110110000101100011110…
…011011001110111000101100
3111010102210011000101001100020
4112300230132123032320230
5101110043041141120322
6552522454403402140
730041140264065525
oct2660543633167054
9433383130331306
10100103313223212
1129994638698982
12b288839083350
1343b19181b76a0
141aa1051cd184c
15b88db482005c
hex5b0b1e6cee2c

100103313223212 has 96 divisors (see below), whose sum is σ = 257927820104640. Its totient is φ = 30027977441280.

The previous prime is 100103313223211. The next prime is 100103313223229. The reversal of 100103313223212 is 212322313301001.

It is not an unprimeable number, because it can be changed into a prime (100103313223211) 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, 45471037 + ... + 47621652.

It is an arithmetic number, because the mean of its divisors is an integer number (2686748126090).

Almost surely, 2100103313223212 is an apocalyptic number.

100103313223212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100103313223212 is an abundant number, since it is smaller than the sum of its proper divisors (157824506881428).

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

100103313223212 is a wasteful number, since it uses less digits than its factorization.

100103313223212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93092883 (or 93092881 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100103313223212 its reverse (212322313301001), we get a palindrome (312425626524213).

The spelling of 100103313223212 in words is "one hundred trillion, one hundred three billion, three hundred thirteen million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 113 122 156 183 226 244 339 366 452 678 732 793 1356 1469 1586 2379 2938 3172 4407 4758 5876 6893 8814 9516 13786 17628 20679 27572 41358 82716 89609 179218 268827 358436 537654 1075308 93092689 186185378 279278067 372370756 558556134 1117112268 1210204957 2420409914 3630614871 4840819828 5678654029 7261229742 10519473857 11357308058 14522459484 17035962087 21038947714 22714616116 31558421571 34071924174 42077895428 63116843142 68143848348 73822502377 126233686284 136753160141 147645004754 221467507131 273506320282 295290009508 410259480423 442935014262 547012640564 641687905277 820518960846 885870028524 1283375810554 1641037921692 1925063715831 2566751621108 3850127431662 7700254863324 8341942768601 16683885537202 25025828305803 33367771074404 50051656611606 100103313223212