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242104412012100 = 223521173364973337
BaseRepresentation
bin110111000011000101010011…
…011110011111111001000100
31011202012221210202000200220020
4313003011103132133321010
5223213114313433341400
62214525121554335140
7101665316011343061
oct6703052336377104
91152187722020806
10242104412012100
11701619a4a282a0
12231a155988a4b0
13a51246a9a7a91
1443adcb7973c68
151ceca584d12a0
hexdc315379fe44

242104412012100 has 72 divisors (see below), whose sum is σ = 764169562288608. Its totient is φ = 58691978668800.

The previous prime is 242104412012003. The next prime is 242104412012101. The reversal of 242104412012100 is 1210214401242.

It is a happy number.

It is a super-2 number, since 2×2421044120121002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242104412012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36682483369 + ... + 36682489968.

Almost surely, 2242104412012100 is an apocalyptic number.

242104412012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242104412012100 is an abundant number, since it is smaller than the sum of its proper divisors (522065150276508).

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

242104412012100 is a wasteful number, since it uses less digits than its factorization.

242104412012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73364973365 (or 73364973358 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 242104412012100 its reverse (1210214401242), we get a palindrome (243314626413342).

The spelling of 242104412012100 in words is "two hundred forty-two trillion, one hundred four billion, four hundred twelve million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 73364973337 146729946674 220094920011 293459893348 366824866685 440189840022 733649733370 807014706707 880379680044 1100474600055 1467299466740 1614029413414 1834124333425 2200949200110 2421044120121 3228058826828 3668248666850 4035073533535 4401898400220 4842088240242 5502373000275 7336497333700 8070147067070 9684176480484 11004746000550 12105220600605 16140294134140 20175367667675 22009492001100 24210441201210 40350735335350 48420882402420 60526103003025 80701470670700 121052206006050 242104412012100