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1321212313422 = 233437360712841
BaseRepresentation
bin10011001110011110011…
…000111111111101001110
311200022021120001121212000
4103032132120333331032
5133121320323012142
62450542341053130
7164311605236631
oct23163630777516
94608246047760
101321212313422
1146a3609a8231
121940873b71a6
13977889b80a1
1447d38887c18
152457b31014c
hex1339e63ff4e

1321212313422 has 128 divisors (see below), whose sum is σ = 3050716753920. Its totient is φ = 423537569280.

The previous prime is 1321212313331. The next prime is 1321212313429. The reversal of 1321212313422 is 2243132121231.

1321212313422 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 1 + 231 + 3 + 422 = 666.

It is a super-2 number, since 2×13212123134222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321212313429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102883722 + ... + 102896562.

It is an arithmetic number, because the mean of its divisors is an integer number (23833724640).

Almost surely, 21321212313422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321212313422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525358376960).

1321212313422 is an abundant number, since it is smaller than the sum of its proper divisors (1729504440498).

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

1321212313422 is a wasteful number, since it uses less digits than its factorization.

1321212313422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13575 (or 13569 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 1321212313422 its reverse (2243132121231), we get a palindrome (3564344434653).

The spelling of 1321212313422 in words is "one trillion, three hundred twenty-one billion, two hundred twelve million, three hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 73 86 129 146 219 258 387 438 607 657 774 1161 1214 1314 1821 1971 2322 3139 3642 3942 5463 6278 9417 10926 12841 16389 18834 25682 26101 28251 32778 38523 44311 52202 56502 77046 78303 84753 88622 115569 132933 156606 169506 231138 234909 265866 346707 398799 469818 552163 693414 704727 797598 937393 1104326 1196397 1409454 1656489 1874786 1905373 2392794 2812179 3312978 3810746 4969467 5624358 5716119 7794487 8436537 9938934 11432238 14908401 15588974 16873074 17148357 23383461 25309611 29816802 34296714 40307899 46766922 50619222 51445071 70150383 80615798 102890142 120923697 140300766 210451149 241847394 335162941 362771091 420902298 568997551 670325882 725542182 1005488823 1088313273 1137995102 1706992653 2010977646 2176626546 3016466469 3413985306 5120977959 6032932938 9049399407 10241955918 15362933877 18098798814 24466894693 30725867754 48933789386 73400684079 146801368158 220202052237 440404104474 660606156711 1321212313422