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10011223132312 = 23194710116385121
BaseRepresentation
bin1001000110101110101101…
…1001100000100010011000
31022110001201100112110001111
42101223223121200202120
52303010441110213222
633143031543430104
72052200304400543
oct221535331404230
938401640473044
1010011223132312
11320a810514486
1211582aa455334
1357809237920c
1426878d8c385a
151256353aa777
hex91aeb660898

10011223132312 has 128 divisors (see below), whose sum is σ = 20504459750400. Its totient is φ = 4567062528000.

The previous prime is 10011223132303. The next prime is 10011223132349. The reversal of 10011223132312 is 21323132211001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117569112 + ... + 117654232.

It is an arithmetic number, because the mean of its divisors is an integer number (160191091800).

Almost surely, 210011223132312 is an apocalyptic number.

It is an amenable number.

10011223132312 is an abundant number, since it is smaller than the sum of its proper divisors (10493236618088).

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

10011223132312 is a wasteful number, since it uses less digits than its factorization.

10011223132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85457 (or 85453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10011223132312 its reverse (21323132211001), we get a palindrome (31334355343313).

The spelling of 10011223132312 in words is "ten trillion, eleven billion, two hundred twenty-three million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 19 38 47 76 94 101 152 163 188 202 326 376 404 652 808 893 1304 1786 1919 3097 3572 3838 4747 6194 7144 7661 7676 9494 12388 15322 15352 16463 18988 24776 30644 32926 37976 61288 65852 85121 90193 131704 145559 170242 180386 291118 312797 340484 360772 582236 625594 680968 721544 773761 1164472 1251188 1547522 1617299 2502376 3095044 3234598 4000687 6190088 6469196 8001374 8597221 12938392 13874723 14701459 16002748 17194442 27749446 29402918 32005496 34388884 55498892 58805836 68777768 76013053 110997784 117611672 152026106 163347199 263619737 304052212 326694398 404069387 527239474 608104424 652111981 653388796 808138774 1054478948 1304223962 1306777592 1401347023 1616277548 2108957896 2608447924 2802694046 3232555096 5216895848 5605388092 7677318353 11210776184 12390127639 15354636706 24780255278 26625593437 30709273412 49560510556 53251186874 61418546824 65863310081 99121021112 106502373748 131726620162 213004747496 263453240324 526906480648 1251402891539 2502805783078 5005611566156 10011223132312