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1356222007700 = 2252715126774793
BaseRepresentation
bin10011101111000101001…
…000011000100110010100
311210122122102222100211122
4103233011020120212110
5134210020313221300
62515012332223112
7166661305600310
oct23570510304624
94718572870748
101356222007700
11483196a6a76a
1219aa1800aa98
139ab77c24411
14498da398b40
1525429b57c85
hex13bc5218994

1356222007700 has 144 divisors (see below), whose sum is σ = 3387676341504. Its totient is φ = 461642112000.

The previous prime is 1356222007667. The next prime is 1356222007717. The reversal of 1356222007700 is 77002226531.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 282956504 + ... + 282961296.

Almost surely, 21356222007700 is an apocalyptic number.

1356222007700 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 1356222007700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693838170752).

1356222007700 is an abundant number, since it is smaller than the sum of its proper divisors (2031454333804).

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

1356222007700 is a wasteful number, since it uses less digits than its factorization.

1356222007700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 1356222007700 in words is "one trillion, three hundred fifty-six billion, two hundred twenty-two million, seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 604 700 755 1057 1510 2114 2677 3020 3775 4228 4793 5285 5354 7550 9586 10570 10708 13385 15100 18739 19172 21140 23965 26425 26770 33551 37478 47930 52850 53540 66925 67102 74956 93695 95860 105700 119825 133850 134204 167755 187390 239650 267700 335510 374780 404227 468475 479300 671020 723743 808454 838775 936950 1447486 1616908 1677550 1873900 2021135 2829589 2894972 3355100 3618715 4042270 5066201 5659178 7237430 8084540 10105675 10132402 11318356 12830861 14147945 14474860 18093575 20211350 20264804 25331005 25661722 28295890 36187150 40422700 50662010 51323444 56591780 64154305 70739725 72374300 89816027 101324020 126655025 128308610 141479450 179632054 253310050 256617220 282958900 320771525 359264108 449080135 506620100 641543050 898160270 1283086100 1796320540 1937460011 2245400675 3874920022 4490801350 7749840044 8981602700 9687300055 13562220077 19374600110 27124440154 38749200220 48436500275 54248880308 67811100385 96873000550 135622200770 193746001100 271244401540 339055501925 678111003850 1356222007700