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1321011302100 = 223527680392467
BaseRepresentation
bin10011001110010010011…
…010001100111011010100
311200021202112211012011020
4103032102122030323110
5133120412343131400
62450510400441140
7164303614541040
oct23162232147324
94607675735136
101321011302100
1146a268494476
121940300191b0
1397756168689
1447d19cc1020
15245688562a0
hex1339268ced4

1321011302100 has 144 divisors (see below), whose sum is σ = 4368833376768. Its totient is φ = 301897791360.

The previous prime is 1321011302089. The next prime is 1321011302113. The reversal of 1321011302100 is 12031101231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1321011302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14240067 + ... + 14332533.

It is an arithmetic number, because the mean of its divisors is an integer number (30339120672).

Almost surely, 21321011302100 is an apocalyptic number.

1321011302100 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 1321011302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184416688384).

1321011302100 is an abundant number, since it is smaller than the sum of its proper divisors (3047822074668).

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

1321011302100 is a wasteful number, since it uses less digits than its factorization.

1321011302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99294 (or 99287 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1321011302100 its reverse (12031101231), we get a palindrome (1333042403331).

The spelling of 1321011302100 in words is "one trillion, three hundred twenty-one billion, eleven million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6803 13606 20409 27212 34015 40818 47621 68030 81636 92467 95242 102045 136060 142863 170075 184934 190484 204090 238105 277401 285726 340150 369868 408180 462335 476210 510225 554802 571452 647269 680300 714315 924670 952420 1020450 1109604 1190525 1294538 1387005 1428630 1849340 1941807 2040900 2311675 2381050 2589076 2774010 2857260 3236345 3571575 3883614 4623350 4762100 5548020 6472690 6935025 7143150 7767228 9246700 9709035 12945380 13870050 14286300 16181725 19418070 27740100 32363450 38836140 48545175 64726900 97090350 194180700 629053001 1258106002 1887159003 2516212004 3145265005 3774318006 4403371007 6290530010 7548636012 8806742014 9435795015 12581060020 13210113021 15726325025 17613484028 18871590030 22016855035 26420226042 31452650050 37743180060 44033710070 47178975075 52840452084 62905300100 66050565105 88067420140 94357950150 110084275175 132101130210 188715900300 220168550350 264202260420 330252825525 440337100700 660505651050 1321011302100