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102022002001020 = 22354141472358537
BaseRepresentation
bin10111001100100111011001…
…001100000100010001111100
3111101020012121201210211121110
4113030213121030010101330
5101333012030003013040
61000552132151002020
730326563213442013
oct2714473114042174
9441205551724543
10102022002001020
112a56431946aa82
12b53866a069310
1344c0830a8001a
141b29c69803a7a
15bbdc5e173980
hex5cc9d930447c

102022002001020 has 48 divisors (see below), whose sum is σ = 292628961844128. Its totient is φ = 26542309463040.

The previous prime is 102022002000953. The next prime is 102022002001027. The reversal of 102022002001020 is 20100200220201.

It is a super-2 number, since 2×1020220020010202 (a number of 29 digits) contains 22 as substring.

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 = 102022002000987 and 102022002001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022002001027) 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, 20736176809 + ... + 20736181728.

It is an arithmetic number, because the mean of its divisors is an integer number (6096436705086).

Almost surely, 2102022002001020 is an apocalyptic number.

102022002001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022002001020 is an abundant number, since it is smaller than the sum of its proper divisors (190606959843108).

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

102022002001020 is a wasteful number, since it uses less digits than its factorization.

102022002001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41472358590 (or 41472358588 counting only the distinct ones).

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

Adding to 102022002001020 its reverse (20100200220201), we get a palindrome (122122202221221).

The spelling of 102022002001020 in words is "one hundred two trillion, twenty-two billion, two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 41472358537 82944717074 124417075611 165889434148 207361792685 248834151222 414723585370 497668302444 622085378055 829447170740 1244170756110 1700366700017 2488341512220 3400733400034 5101100100051 6801466800068 8501833500085 10202200200102 17003667000170 20404400400204 25505500500255 34007334000340 51011001000510 102022002001020