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121213310100 = 2235219157135449
BaseRepresentation
bin111000011100011100…
…0000101010010010100
3102120212120020011001120
41300320320011102110
53441221101410400
6131403513523540
711520531064431
oct1607070052224
9376776204046
10121213310100
1147451831a43
121b5aa1135b0
13b57968bc3c
145c1c53cb88
15324676eca0
hex1c38e05494

121213310100 has 144 divisors (see below), whose sum is σ = 371523096000. Its totient is φ = 30427038720.

The previous prime is 121213310047. The next prime is 121213310123. The reversal of 121213310100 is 1013312121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121213310100.

It is a congruent number.

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, 827176 + ... + 962624.

It is an arithmetic number, because the mean of its divisors is an integer number (2580021500).

Almost surely, 2121213310100 is an apocalyptic number.

121213310100 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 121213310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185761548000).

121213310100 is an abundant number, since it is smaller than the sum of its proper divisors (250309785900).

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

121213310100 is a wasteful number, since it uses less digits than its factorization.

121213310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135642 (or 135635 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121213310100 its reverse (1013312121), we get a palindrome (122226622221).

The spelling of 121213310100 in words is "one hundred twenty-one billion, two hundred thirteen million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 157 190 228 285 300 314 380 471 475 570 628 785 942 950 1140 1425 1570 1884 1900 2355 2850 2983 3140 3925 4710 5700 5966 7850 8949 9420 11775 11932 14915 15700 17898 23550 29830 35796 44745 47100 59660 74575 89490 135449 149150 178980 223725 270898 298300 406347 447450 541796 677245 812694 894900 1354490 1625388 2031735 2573531 2708980 3386225 4063470 5147062 6772450 7720593 8126940 10158675 10294124 12867655 13544900 15441186 20317350 21265493 25735310 30882372 38602965 40634700 42530986 51470620 63796479 64338275 77205930 85061972 106327465 127592958 128676550 154411860 193014825 212654930 255185916 257353100 318982395 386029650 404044367 425309860 531637325 637964790 772059300 808088734 1063274650 1212133101 1275929580 1594911975 1616177468 2020221835 2126549300 2424266202 3189823950 4040443670 4848532404 6060665505 6379647900 8080887340 10101109175 12121331010 20202218350 24242662020 30303327525 40404436700 60606655050 121213310100