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31105559023104 = 293281461156329
BaseRepresentation
bin1110001001010010100111…
…10010111100111000000000
311002010122212220001011022110
413010221103302330320000
513034113141102214404
6150053410241535320
76360205515133206
oct704512362747000
9132118786034273
1031105559023104
119a0288016a415
1235a4570944540
13144831ab255b7
14797734c73076
1538e1d8807b89
hex1c4a53cbce00

31105559023104 has 160 divisors (see below), whose sum is σ = 83342982270240. Its totient is φ = 10309143756800.

The previous prime is 31105559023069. The next prime is 31105559023111. The reversal of 31105559023104 is 40132095550113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198896812 + ... + 199053140.

It is an arithmetic number, because the mean of its divisors is an integer number (520893639189).

Almost surely, 231105559023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31105559023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41671491135120).

31105559023104 is an abundant number, since it is smaller than the sum of its proper divisors (52237423247136).

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

31105559023104 is a wasteful number, since it uses less digits than its factorization.

31105559023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157092 (or 157076 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 31105559023104 in words is "thirty-one trillion, one hundred five billion, five hundred fifty-nine million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 281 384 461 512 562 768 843 922 1124 1383 1536 1686 1844 2248 2766 3372 3688 4496 5532 6744 7376 8992 11064 13488 14752 17984 22128 26976 29504 35968 44256 53952 59008 71936 88512 107904 118016 129541 143872 156329 177024 215808 236032 259082 312658 354048 388623 431616 468987 518164 625316 708096 777246 937974 1036328 1250632 1554492 1875948 2072656 2501264 3108984 3751896 4145312 5002528 6217968 7503792 8290624 10005056 12435936 15007584 16581248 20010112 24871872 30015168 33162496 40020224 43928449 49743744 60030336 66324992 72067669 80040448 87856898 99487488 120060672 131785347 144135338 175713796 198974976 216203007 240121344 263570694 288270676 351427592 432406014 527141388 576541352 702855184 864812028 1054282776 1153082704 1405710368 1729624056 2108565552 2306165408 2811420736 3459248112 4217131104 4612330816 5622841472 6918496224 8434262208 9224661632 11245682944 13836992448 16868524416 18449323264 20251014989 22491365888 27673984896 33737048832 36898646528 40502029978 55347969792 60753044967 67474097664 81004059956 110695939584 121506089934 162008119912 243012179868 324016239824 486024359736 648032479648 972048719472 1296064959296 1944097438944 2592129918592 3888194877888 5184259837184 7776389755776 10368519674368 15552779511552 31105559023104