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200121202211022 = 23431313013033587
BaseRepresentation
bin101101100000001001011001…
…001010110111100011001110
3222020120101210122222022120000
4231200021121022313203032
5202212241210231223042
61545342224445305130
760103164643154361
oct5540113112674316
9866511718868500
10200121202211022
1158845a1a5543a4
121a5409b58651a6
13878846b562c01
14375bcbc8b40d8
15182092986a74c
hexb602592b78ce

200121202211022 has 80 divisors (see below), whose sum is σ = 450198304495632. Its totient is φ = 66442814006400.

The previous prime is 200121202211011. The next prime is 200121202211027. The reversal of 200121202211022 is 220112202121002.

It is a happy number.

200121202211022 is a `hidden beast` number, since 200 + 1 + 212 + 0 + 221 + 10 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200121202210986 and 200121202211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200121202211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64451713 + ... + 67485299.

Almost surely, 2200121202211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121202211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225099152247816).

200121202211022 is an abundant number, since it is smaller than the sum of its proper divisors (250077102284610).

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

200121202211022 is a wasteful number, since it uses less digits than its factorization.

200121202211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035215 (or 3035206 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200121202211022 its reverse (220112202121002), we get a palindrome (420233404332024).

The spelling of 200121202211022 in words is "two hundred trillion, one hundred twenty-one billion, two hundred two million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 313 626 939 1301 1878 2602 2817 3903 5634 7806 8451 11709 16902 23418 25353 35127 50706 70254 105381 210762 407213 814426 1221639 2443278 3033587 3664917 6067174 7329834 9100761 10994751 18201522 21989502 27302283 32984253 54604566 65968506 81906849 163813698 245720547 491441094 949512731 1899025462 2848538193 3946696687 5697076386 7893393374 8545614579 11840090061 17091229158 23680180122 25636843737 35520270183 51273687474 71040540366 76910531211 106560810549 153821062422 213121621098 319682431647 639364863294 1235316063031 2470632126062 3705948189093 7411896378186 11117844567279 22235689134558 33353533701837 66707067403674 100060601105511 200121202211022