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20111021200032 = 253779378824239
BaseRepresentation
bin1001001001010011101100…
…10001100101001010100000
32122012121001122102211010020
410210221312101211022200
510113444332411400112
6110434513043433440
74143654565450620
oct444516621451240
978177048384106
1020111021200032
1164540441a0914
122309798385880
13b2b5cc2314c9
144d7542d0a880
1524d20194b48c
hex124a764652a0

20111021200032 has 96 divisors (see below), whose sum is σ = 61096773427200. Its totient is φ = 5673271788288.

The previous prime is 20111021200031. The next prime is 20111021200033. The reversal of 20111021200032 is 23000212011102.

It is an interprime number because it is at equal distance from previous prime (20111021200031) and next prime (20111021200033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20111021199984 and 20111021200020.

It is not an unprimeable number, because it can be changed into a prime (20111021200031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189359032 + ... + 189465207.

It is an arithmetic number, because the mean of its divisors is an integer number (636424723200).

Almost surely, 220111021200032 is an apocalyptic number.

It is an amenable number.

20111021200032 is an abundant number, since it is smaller than the sum of its proper divisors (40985752227168).

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

20111021200032 is a wasteful number, since it uses less digits than its factorization.

20111021200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378824338 (or 378824330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20111021200032 its reverse (23000212011102), we get a palindrome (43111233211134).

The spelling of 20111021200032 in words is "twenty trillion, one hundred eleven billion, twenty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 26544 53088 378824239 757648478 1136472717 1515296956 2272945434 2651769673 3030593912 4545890868 5303539346 6061187824 7955309019 9091781736 10607078692 12122375648 15910618038 18183563472 21214157384 29927114881 31821236076 36367126944 42428314768 59854229762 63642472152 84856629536 89781344643 119708459524 127284944304 179562689286 209489804167 239416919048 254569888608 359125378572 418979608334 478833838096 628469412501 718250757144 837959216668 957667676192 1256938825002 1436501514288 1675918433336 2513877650004 2873003028576 3351836866672 5027755300008 6703673733344 10055510600016 20111021200032