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1312013213020 = 2252373235116619
BaseRepresentation
bin10011000101111010000…
…101001101110101011100
311122102112110022220102201
4103011322011031311130
5132444000340304040
62442421444301244
7163534624206136
oct23057205156534
94572473286381
101312013213020
11466470288a14
1219233a6a1824
1396950c07103
1447704c46056
15241dd905a9a
hex1317a14dd5c

1312013213020 has 96 divisors (see below), whose sum is σ = 2915819182080. Its totient is φ = 494870745600.

The previous prime is 1312013213009. The next prime is 1312013213033. The reversal of 1312013213020 is 203123102131.

It is a super-2 number, since 2×13120132130202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 78938271 + ... + 78954889.

It is an arithmetic number, because the mean of its divisors is an integer number (30373116480).

Almost surely, 21312013213020 is an apocalyptic number.

1312013213020 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 1312013213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457909591040).

1312013213020 is an abundant number, since it is smaller than the sum of its proper divisors (1603805969060).

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

1312013213020 is a wasteful number, since it uses less digits than its factorization.

1312013213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19075 (or 19073 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1312013213020 its reverse (203123102131), we get a palindrome (1515136315151).

The spelling of 1312013213020 in words is "one trillion, three hundred twelve billion, thirteen million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 1460 1679 2351 3358 4702 6716 8395 9404 11755 16619 16790 23510 33238 33580 47020 54073 66476 83095 108146 166190 171623 216292 270365 332380 343246 382237 540730 686492 764474 858115 1081460 1213187 1528948 1716230 1911185 2426374 3432460 3822370 3947329 4852748 6065935 7644740 7894658 12131870 15789316 19736645 24263740 27903301 39071269 39473290 55806602 78142538 78946580 111613204 139516505 156285076 195356345 279033010 390712690 558066020 781425380 898639187 1797278374 2852202637 3594556748 4493195935 5704405274 8986391870 11408810548 14261013185 17972783740 28522026370 57044052740 65600660651 131201321302 262402642604 328003303255 656006606510 1312013213020