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20121020102200 = 23522113296316069
BaseRepresentation
bin1001001001100110010100…
…10000010111011000111000
32122020112212111010200022011
410210303022100113120320
510114130322121232300
6110443245150535304
74144460430641113
oct444631220273070
978215774120264
1020121020102200
116458305326026
12230b708b07534
13b2c533926074
144d7c10c6557a
1524d5d968deba
hex124cca417638

20121020102200 has 96 divisors (see below), whose sum is σ = 46822221154800. Its totient is φ = 8041383567360.

The previous prime is 20121020102173. The next prime is 20121020102203. The reversal of 20121020102200 is 220102012102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121020102203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252155766 + ... + 1252171834.

Almost surely, 220121020102200 is an apocalyptic number.

20121020102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121020102200 is an abundant number, since it is smaller than the sum of its proper divisors (26701201052600).

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

20121020102200 is a wasteful number, since it uses less digits than its factorization.

20121020102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21161 (or 21152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20121020102200 its reverse (220102012102), we get a palindrome (20341122114302).

The spelling of 20121020102200 in words is "twenty trillion, one hundred twenty-one billion, twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2113 2963 4226 5926 8452 10565 11852 14815 16069 16904 21130 23704 29630 32138 42260 52825 59260 64276 74075 80345 84520 105650 118520 128552 148150 160690 211300 296300 321380 401725 422600 592600 642760 803450 1606900 3213800 6260819 12521638 25043276 31304095 33953797 47612447 50086552 62608190 67907594 95224894 125216380 135815188 156520475 169768985 190449788 238062235 250432760 271630376 313040950 339537970 380899576 476124470 626081900 679075940 848844925 952248940 1190311175 1252163800 1358151880 1697689850 1904497880 2380622350 3395379700 4761244700 6790759400 9522489400 100605100511 201210201022 402420402044 503025502555 804840804088 1006051005110 2012102010220 2515127512775 4024204020440 5030255025550 10060510051100 20121020102200