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100322011020 = 223572113102103
BaseRepresentation
bin101110101101110101…
…0000110011110001100
3100120221121120012022210
41131123222012132030
53120424413323040
6114030504510420
710151034011100
oct1353352063614
9316847505283
10100322011020
1139601183810
121753977b410
1395ca4460ca
144bd9b23900
152922645480
hex175ba8678c

100322011020 has 144 divisors (see below), whose sum is σ = 356468974848. Its totient is φ = 20846125440.

The previous prime is 100322011007. The next prime is 100322011099. The reversal of 100322011020 is 20110223001.

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 = 100322010987 and 100322011005.

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, 1518712 + ... + 1583391.

It is an arithmetic number, because the mean of its divisors is an integer number (2475478992).

Almost surely, 2100322011020 is an apocalyptic number.

100322011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100322011020 is an abundant number, since it is smaller than the sum of its proper divisors (256146963828).

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

100322011020 is a wasteful number, since it uses less digits than its factorization.

100322011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102140 (or 3102131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100322011020 its reverse (20110223001), we get a palindrome (120432234021).

The spelling of 100322011020 in words is "one hundred billion, three hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 3102103 6204206 9306309 12408412 15510515 18612618 21714721 31021030 34123133 37225236 43429442 46531545 62042060 65144163 68246266 86858884 93063090 102369399 108573605 130288326 136492532 152003047 170615665 186126180 204738798 217147210 238861931 260576652 304006094 325720815 341231330 409477596 434294420 456009141 477723862 511846995 608012188 651441630 682462660 716585793 760015235 912018282 955447724 1023693990 1194309655 1302883260 1433171586 1520030470 1672033517 1824036564 2047387980 2280045705 2388619310 2866343172 3040060940 3344067034 3582928965 4560091410 4777238620 5016100551 6688134068 7165857930 8360167585 9120182820 10032201102 14331715860 16720335170 20064402204 25080502755 33440670340 50161005510 100322011020