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102001022200020 = 223559325431127333
BaseRepresentation
bin10111001100010011110110…
…101100011110100011010100
3111101011012110121121112001210
4113030103312230132203110
5101332141043140400040
61000534342301021420
730325221263202306
oct2714236654364324
9441135417545053
10102001022200020
112a556432963a69
12b534593b54870
1344bb8693bb0a8
141b28c3934b976
15bbd4323b6480
hex5cc4f6b1e8d4

102001022200020 has 96 divisors (see below), whose sum is σ = 286197238559232. Its totient is φ = 27143701485568.

The previous prime is 102001022199977. The next prime is 102001022200039. The reversal of 102001022200020 is 20002220100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102001022199969 and 102001022200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89916274 + ... + 91043606.

It is an arithmetic number, because the mean of its divisors is an integer number (2981221234992).

Almost surely, 2102001022200020 is an apocalyptic number.

102001022200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001022200020 is an abundant number, since it is smaller than the sum of its proper divisors (184196216359212).

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

102001022200020 is a wasteful number, since it uses less digits than its factorization.

102001022200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130481 (or 1130479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102001022200020 its reverse (20002220100201), we get a palindrome (122003242300221).

The spelling of 102001022200020 in words is "one hundred two trillion, one billion, twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 593 1186 1779 2372 2543 2965 3558 5086 5930 7116 7629 8895 10172 11860 12715 15258 17790 25430 30516 35580 38145 50860 76290 152580 1127333 1507999 2254666 3015998 3381999 4509332 4523997 5636665 6031996 6763998 7539995 9047994 11273330 13527996 15079990 16909995 18095988 22546660 22619985 30159980 33819990 45239970 67639980 90479940 668508469 1337016938 2005525407 2674033876 2866807819 3342542345 4011050814 5733615638 6685084690 8022101628 8600423457 10027627035 11467231276 13370169380 14334039095 17200846914 20055254070 28668078190 34401693828 40110508140 43002117285 57336156380 86004234570 172008469140 1700017036667 3400034073334 5100051110001 6800068146668 8500085183335 10200102220002 17000170366670 20400204440004 25500255550005 34000340733340 51000511100010 102001022200020