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102022220020 = 22571744995471
BaseRepresentation
bin101111100000011111…
…1111000100011110100
3100202100002210202121111
41133000333320203310
53132420142020040
6114511322124404
710241130363460
oct1370077704364
9322302722544
10102022220020
113a2a3979a16
1217933050704
13980b766836
144d1b8614a0
1529c1a3adea
hex17c0ff88f4

102022220020 has 96 divisors (see below), whose sum is σ = 259836595200. Its totient is φ = 32847790080.

The previous prime is 102022220011. The next prime is 102022220021. The reversal of 102022220020 is 20022220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022220021) 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, 1020885 + ... + 1116355.

It is an arithmetic number, because the mean of its divisors is an integer number (2706631200).

Almost surely, 2102022220020 is an apocalyptic number.

102022220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129918297600).

102022220020 is an abundant number, since it is smaller than the sum of its proper divisors (157814375180).

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

102022220020 is a wasteful number, since it uses less digits than its factorization.

102022220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95953 (or 95951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 102022220020 its reverse (20022220201), we get a palindrome (122044440221).

The spelling of 102022220020 in words is "one hundred two billion, twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 449 476 595 898 1190 1796 2245 2380 3143 4490 6286 7633 8980 12572 15266 15715 30532 31430 38165 53431 62860 76330 95471 106862 152660 190942 213724 267155 381884 477355 534310 668297 954710 1068620 1336594 1623007 1909420 2673188 3246014 3341485 6492028 6682970 8115035 11361049 13365940 16230070 22722098 32460140 42866479 45444196 56805245 85732958 113610490 171465916 214332395 227220980 300065353 428664790 600130706 728730143 857329580 1200261412 1457460286 1500326765 2914920572 3000653530 3643650715 5101111001 6001307060 7287301430 10202222002 14574602860 20404444004 25505555005 51011110010 102022220020