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102022010220 = 223513621121059
BaseRepresentation
bin101111100000011111…
…1000101010101101100
3100202100002102002211010
41133000333011111230
53132420113311340
6114511313425220
710241125531014
oct1370077052554
9322302362733
10102022010220
113a2a3846329
1217932b6b210
13980b6c21b0
144d1b808c44
1529c19e8b80
hex17c0fc556c

102022010220 has 96 divisors (see below), whose sum is σ = 307699741440. Its totient is φ = 25107874560.

The previous prime is 102022010203. The next prime is 102022010221. The reversal of 102022010220 is 22010220201.

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 = 102022010196 and 102022010205.

It is not an unprimeable number, because it can be changed into a prime (102022010221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834051 + ... + 4855109.

It is an arithmetic number, because the mean of its divisors is an integer number (3205205640).

Almost surely, 2102022010220 is an apocalyptic number.

102022010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022010220 is an abundant number, since it is smaller than the sum of its proper divisors (205677731220).

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

102022010220 is a wasteful number, since it uses less digits than its factorization.

102022010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295 (or 27293 counting only the distinct ones).

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

Adding to 102022010220 its reverse (22010220201), we get a palindrome (124032230421).

The spelling of 102022010220 in words is "one hundred two billion, twenty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 6211 12422 18633 21059 24844 31055 37266 42118 62110 63177 74532 80743 84236 93165 105295 124220 126354 161486 186330 210590 242229 252708 273767 315885 322972 372660 403715 421180 484458 547534 631770 807430 821301 968916 1095068 1211145 1263540 1368835 1614860 1642602 2422290 2737670 3285204 4106505 4844580 5475340 8213010 16426020 130797449 261594898 392392347 523189796 653987245 784784694 1307974490 1569569388 1700366837 1961961735 2615948980 3400733674 3923923470 5101100511 6801467348 7847846940 8501834185 10202201022 17003668370 20404402044 25505502555 34007336740 51011005110 102022010220