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100332012023000 = 23531913325716103
BaseRepresentation
bin10110110100000001011101…
…111011111010110011011000
3111011020122110102111211002022
4112310001131323322303120
5101122314430034214000
6553215520124354012
730063514534602002
oct2664013573726330
9434218412454068
10100332012023000
1129a7262715612a
12b3050239a5908
1343ca3641335a4
141aac1496a7372
15b8ecec542585
hex5b405defacd8

100332012023000 has 128 divisors (see below), whose sum is σ = 234986348488320. Its totient is φ = 40097020057600.

The previous prime is 100332012022951. The next prime is 100332012023039. The reversal of 100332012023000 is 320210233001.

It is a self number, because there is not a number n which added to its sum of digits gives 100332012023000.

It is a congruent number.

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, 6230632949 + ... + 6230649051.

It is an arithmetic number, because the mean of its divisors is an integer number (1835830847565).

Almost surely, 2100332012023000 is an apocalyptic number.

100332012023000 is a gapful number since it is divisible by the number (10) 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 100332012023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117493174244160).

100332012023000 is an abundant number, since it is smaller than the sum of its proper divisors (134654336465320).

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

100332012023000 is a wasteful number, since it uses less digits than its factorization.

100332012023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21294 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100332012023000 its reverse (320210233001), we get a palindrome (100652222256001).

The spelling of 100332012023000 in words is "one hundred trillion, three hundred thirty-two billion, twelve million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1913 3257 3826 6514 7652 9565 13028 15304 16103 16285 19130 26056 32206 32570 38260 47825 64412 65140 76520 80515 81425 95650 128824 130280 161030 162850 191300 239125 322060 325700 382600 402575 407125 478250 644120 651400 805150 814250 956500 1610300 1628500 1913000 2012875 3220600 3257000 4025750 6230641 8051500 12461282 16103000 24922564 30805039 31153205 49845128 52447471 61610078 62306410 104894942 123220156 124612820 154025195 155766025 209789884 246440312 249225640 262237355 308050390 311532050 419579768 524474710 616100780 623064100 770125975 778830125 1048949420 1232201560 1246128200 1311186775 1540251950 1557660250 2097898840 2622373550 3080503900 3115320500 3850629875 5244747100 6161007800 6230641000 6555933875 7701259750 10489494200 13111867750 15402519500 26223735500 30805039000 52447471000 100332012023 200664024046 401328048092 501660060115 802656096184 1003320120230 2006640240460 2508300300575 4013280480920 5016600601150 10033201202300 12541501502875 20066402404600 25083003005750 50166006011500 100332012023000