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100912354633104 = 24371272677883391
BaseRepresentation
bin10110111100011101111101…
…000011010010010110010000
3111020022010102111112000000220
4112330131331003102112100
5101211322000241224404
6554342255024513040
730153451135441260
oct2674357503222620
9436263374460026
10100912354633104
112a176764457753
12b3995a747b780
13443ccc0382831
141acc280d6b7a0
15b9ee6676d4d9
hex5bc77d0d2590

100912354633104 has 160 divisors (see below), whose sum is σ = 300390142181376. Its totient is φ = 28594359037440.

The previous prime is 100912354633093. The next prime is 100912354633159. The reversal of 100912354633104 is 401336453219001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113791249 + ... + 114674639.

Almost surely, 2100912354633104 is an apocalyptic number.

100912354633104 is a gapful number since it is divisible by the number (14) 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 100912354633104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150195071090688).

100912354633104 is an abundant number, since it is smaller than the sum of its proper divisors (199477787548272).

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

100912354633104 is a wasteful number, since it uses less digits than its factorization.

100912354633104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886213 (or 886207 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 100912354633104 in words is "one hundred trillion, nine hundred twelve billion, three hundred fifty-four million, six hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 2677 3048 3556 5334 5354 6096 7112 8031 10668 10708 14224 16062 18739 21336 21416 32124 37478 42672 42832 56217 64248 74956 112434 128496 149912 224868 299824 339979 449736 679958 883391 899472 1019937 1359916 1766782 2039874 2379853 2650173 2719832 3533564 4079748 4759706 5300346 5439664 6183737 7067128 7139559 8159496 9519412 10600692 12367474 14134256 14279118 16318992 18551211 19038824 21201384 24734948 28558236 37102422 38077648 42402768 49469896 57116472 74204844 98939792 112190657 114232944 148409688 224381314 296819376 336571971 448762628 673143942 785334599 897525256 1346287884 1570669198 1795050512 2356003797 2364837707 2692575768 3141338396 4712007594 4729675414 5385151536 6282676792 7094513121 9424015188 9459350828 12565353584 14189026242 16553863949 18848030376 18918701656 28378052484 33107727898 37696060752 37837403312 49661591847 56756104968 66215455796 99323183694 113512209936 132430911592 198646367388 264861823184 300334388789 397292734776 600668777578 794585469552 901003166367 1201337555156 1802006332734 2102340721523 2402675110312 3604012665468 4204681443046 4805350220624 6307022164569 7208025330936 8409362886092 12614044329138 14416050661872 16818725772184 25228088658276 33637451544368 50456177316552 100912354633104