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30111141300 = 223524322910193
BaseRepresentation
bin11100000010110000…
…111000110110110100
32212201111102110120120
4130002300320312310
5443131423010200
621455522131540
72114116322652
oct340260706664
985644373516
1030111141300
1111851a55149
125a041b0bb0
132abb409a96
1416590d9dd2
15bb377e9a0
hex702c38db4

30111141300 has 144 divisors (see below), whose sum is σ = 89545727040. Its totient is φ = 7807887360.

The previous prime is 30111141299. The next prime is 30111141323. The reversal of 30111141300 is 314111103.

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 30111141300.

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, 2949004 + ... + 2959196.

Almost surely, 230111141300 is an apocalyptic number.

30111141300 is a gapful number since it is divisible by the number (30) 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 30111141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44772863520).

30111141300 is an abundant number, since it is smaller than the sum of its proper divisors (59434585740).

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

30111141300 is a wasteful number, since it uses less digits than its factorization.

30111141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10475 counting only the distinct ones).

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

Adding to 30111141300 its reverse (314111103), we get a palindrome (30425252403).

The spelling of 30111141300 in words is "thirty billion, one hundred eleven million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 229 258 300 430 458 516 645 687 860 916 1075 1145 1290 1374 2150 2290 2580 2748 3225 3435 4300 4580 5725 6450 6870 9847 10193 11450 12900 13740 17175 19694 20386 22900 29541 30579 34350 39388 40772 49235 50965 59082 61158 68700 98470 101930 118164 122316 147705 152895 196940 203860 246175 254825 295410 305790 438299 492350 509650 590820 611580 738525 764475 876598 984700 1019300 1314897 1477050 1528950 1753196 2191495 2334197 2629794 2954100 3057900 4382990 4668394 5259588 6574485 7002591 8765980 9336788 10957475 11670985 13148970 14005182 21914950 23341970 26297940 28010364 32872425 35012955 43829900 46683940 58354925 65744850 70025910 100370471 116709850 131489700 140051820 175064775 200740942 233419700 301111413 350129550 401481884 501852355 602222826 700259100 1003704710 1204445652 1505557065 2007409420 2509261775 3011114130 5018523550 6022228260 7527785325 10037047100 15055570650 30111141300