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201020110000122 = 23723401951777893
BaseRepresentation
bin101101101101001110100100…
…001111111100111111111010
3222100202100001002120100002210
4231231032210033330333322
5202322003141130000442
61551311210315035550
760225136502252520
oct5555164417747772
9870670032510083
10201020110000122
1159062171569a56
121a66706413bbb6
13882216596777a
14378d5d4bc8310
151838edb04e19c
hexb6d3a43fcffa

201020110000122 has 64 divisors (see below), whose sum is σ = 479570996459520. Its totient is φ = 54923502494784.

The previous prime is 201020110000103. The next prime is 201020110000141. The reversal of 201020110000122 is 221000011020102.

It is an interprime number because it is at equal distance from previous prime (201020110000103) and next prime (201020110000141).

It is a super-2 number, since 2×2010201100001222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201020110000098 and 201020110000107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22006593 + ... + 29771300.

It is an arithmetic number, because the mean of its divisors is an integer number (7493296819680).

Almost surely, 2201020110000122 is an apocalyptic number.

201020110000122 is an abundant number, since it is smaller than the sum of its proper divisors (278550886459398).

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

201020110000122 is a wasteful number, since it uses less digits than its factorization.

201020110000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51781947.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201020110000122 its reverse (221000011020102), we get a palindrome (422020121020224).

The spelling of 201020110000122 in words is "two hundred one trillion, twenty billion, one hundred ten million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 4019 8038 12057 24114 28133 56266 84399 92437 168798 184874 277311 554622 647059 1294118 1941177 3882354 51777893 103555786 155333679 310667358 362445251 724890502 1087335753 1190891539 2174671506 2381783078 3572674617 7145349234 8336240773 16672481546 25008722319 50017444638 208095351967 416190703934 624286055901 1248572111802 1456667463769 2913334927538 4370002391307 4786193095241 8740004782614 9572386190482 14358579285723 28717158571446 33503351666687 67006703333374 100510055000061 201020110000122