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1213031320100 = 2252432591108877
BaseRepresentation
bin10001101001101110010…
…011010000101000100100
311021222001020102202112122
4101221232103100220210
5124333242004220400
62325131531005112
7153432022044635
oct21515623205044
94258036382478
101213031320100
11428497613826
12177115899798
138a5083044c2
14429d50c788c
1521848c77685
hex11a6e4d0a24

1213031320100 has 72 divisors (see below), whose sum is σ = 2694558037248. Its totient is φ = 473741251200.

The previous prime is 1213031320093. The next prime is 1213031320133. The reversal of 1213031320100 is 10231303121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11086862 + ... + 11195738.

It is an arithmetic number, because the mean of its divisors is an integer number (37424417184).

Almost surely, 21213031320100 is an apocalyptic number.

1213031320100 is a gapful number since it is divisible by the number (10) 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 1213031320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347279018624).

1213031320100 is an abundant number, since it is smaller than the sum of its proper divisors (1481526717148).

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

1213031320100 is a wasteful number, since it uses less digits than its factorization.

1213031320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111525 (or 111518 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1213031320100 its reverse (10231303121), we get a palindrome (1223262623221).

The spelling of 1213031320100 in words is "one trillion, two hundred thirteen billion, thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 2591 4300 5182 10364 12955 25910 51820 64775 108877 111413 129550 217754 222826 259100 435508 445652 544385 557065 1088770 1114130 2177540 2228260 2721925 2785325 4681711 5443850 5570650 9363422 10887700 11141300 18726844 23408555 46817110 93634220 117042775 234085550 282100307 468171100 564200614 1128401228 1410501535 2821003070 5642006140 7052507675 12130313201 14105015350 24260626402 28210030700 48521252804 60651566005 121303132010 242606264020 303257830025 606515660050 1213031320100