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30103311102120 = 23325372260008341
BaseRepresentation
bin1101101100000111110010…
…01010100011000010101000
310221120211220111202111221200
412312003321022203002220
512421203040120231440
6144005134210404200
76224615053306524
oct666037112430250
9127524814674850
1030103311102120
119656819364193
123462281b90660
1313a4964c1a3c9
14761018076d84
153730c9a5ac30
hex1b60f92a30a8

30103311102120 has 96 divisors (see below), whose sum is σ = 100479970885320. Its totient is φ = 7810588823040.

The previous prime is 30103311102107. The next prime is 30103311102121. The reversal of 30103311102120 is 2120111330103.

30103311102120 is a `hidden beast` number, since 3 + 0 + 10 + 331 + 110 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28895505706116 + 1207805396004 = 5375454^2 + 1099002^2 .

It is a super-2 number, since 2×301033111021202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30103311102093 and 30103311102102.

It is not an unprimeable number, because it can be changed into a prime (30103311102121) 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, 1129990851 + ... + 1130017490.

Almost surely, 230103311102120 is an apocalyptic number.

30103311102120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30103311102120 is an abundant number, since it is smaller than the sum of its proper divisors (70376659783200).

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

30103311102120 is a wasteful number, since it uses less digits than its factorization.

30103311102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260008395 (or 2260008388 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30103311102120 its reverse (2120111330103), we get a palindrome (32223422432223).

The spelling of 30103311102120 in words is "thirty trillion, one hundred three billion, three hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 2260008341 4520016682 6780025023 9040033364 11300041705 13560050046 18080066728 20340075069 22600083410 27120100092 33900125115 40680150138 45200166820 54240200184 67800250230 81360300276 83620308617 90400333640 101700375345 135600500460 162720600552 167240617234 203400750690 250860925851 271201000920 334481234468 406801501380 418101543085 501721851702 668962468936 752582777553 813603002760 836203086170 1003443703404 1254304629255 1505165555106 1672406172340 2006887406808 2508609258510 3010331110212 3344812344680 3762913887765 5017218517020 6020662220424 7525827775530 10034437034040 15051655551060 30103311102120