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102010021092 = 223271746750989
BaseRepresentation
bin101111100000001000…
…1010110010011100100
3100202022020211222211100
41133000101112103210
53132404031133332
6114510204440100
710240621605210
oct1370021262344
9322266758740
10102010021092
113a297aa7761
121792ab49030
139809085135
144d19da7940
1529c092b67c
hex17c04564e4

102010021092 has 144 divisors (see below), whose sum is σ = 312704945280. Its totient is φ = 27371990016.

The previous prime is 102010021051. The next prime is 102010021103. The reversal of 102010021092 is 290120010201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975134 + ... + 2026122.

It is an arithmetic number, because the mean of its divisors is an integer number (2171562120).

Almost surely, 2102010021092 is an apocalyptic number.

102010021092 is a gapful number since it is divisible by the number (12) 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 102010021092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156352472640).

102010021092 is an abundant number, since it is smaller than the sum of its proper divisors (210694924188).

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

102010021092 is a wasteful number, since it uses less digits than its factorization.

102010021092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51490 (or 51485 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102010021092 its reverse (290120010201), we get a palindrome (392130031293).

The spelling of 102010021092 in words is "one hundred two billion, ten million, twenty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 467 476 612 714 934 1071 1401 1428 1868 2142 2802 3269 4203 4284 5604 6538 7939 8406 9807 13076 15878 16812 19614 23817 29421 31756 39228 47634 50989 55573 58842 71451 95268 101978 111146 117684 142902 152967 166719 203956 222292 285804 305934 333438 356923 458901 500157 611868 666876 713846 866813 917802 1000314 1070769 1427692 1733626 1835604 2000628 2141538 2600439 3212307 3467252 4283076 5200878 6067691 6424614 7801317 10401756 12135382 12849228 15602634 18203073 23811863 24270764 31205268 36406146 47623726 54609219 71435589 72812292 95247452 109218438 142871178 166683041 214306767 218436876 285742356 333366082 404801671 428613534 500049123 666732164 809603342 857227068 1000098246 1214405013 1500147369 1619206684 2000196492 2428810026 2833611697 3000294738 3643215039 4857620052 5667223394 6000589476 7286430078 8500835091 11334446788 14572860156 17001670182 25502505273 34003340364 51005010546 102010021092