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30131410300 = 225217192633547
BaseRepresentation
bin11100000011111110…
…001101010101111100
32212202220120020102021
4130003332031111330
5443202120112200
621501524405524
72114453522155
oct340376152574
985686506367
1030131410300
1111862439592
125a0ab468a4
132ac2685784
14165ba9492c
15bb543541a
hex703f8d57c

30131410300 has 144 divisors (see below), whose sum is σ = 73172816640. Its totient is φ = 10702679040.

The previous prime is 30131410297. The next prime is 30131410301. The reversal of 30131410300 is 301413103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131410301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8493127 + ... + 8496673.

It is an arithmetic number, because the mean of its divisors is an integer number (508144560).

Almost surely, 230131410300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36586408320).

30131410300 is an abundant number, since it is smaller than the sum of its proper divisors (43041406340).

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

30131410300 is a wasteful number, since it uses less digits than its factorization.

30131410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30131410300 its reverse (301413103), we get a palindrome (30432823403).

The spelling of 30131410300 in words is "thirty billion, one hundred thirty-one million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 263 323 340 380 425 475 526 646 850 950 1052 1292 1315 1615 1700 1900 2630 3230 3547 4471 4997 5260 6460 6575 7094 8075 8942 9994 13150 14188 16150 17735 17884 19988 22355 24985 26300 32300 35470 44710 49970 60299 67393 70940 84949 88675 89420 99940 111775 120598 124925 134786 169898 177350 223550 241196 249850 269572 301495 336965 339796 354700 424745 447100 499700 602990 673930 849490 932861 1145681 1205980 1347860 1507475 1684825 1698980 1865722 2123725 2291362 3014950 3369650 3731444 4247450 4582724 4664305 5728405 6029900 6739300 8494900 9328610 11456810 15858637 17724359 18657220 22913620 23321525 28642025 31717274 35448718 46643050 57284050 63434548 70897436 79293185 88621795 93286100 114568100 158586370 177243590 301314103 317172740 354487180 396465925 443108975 602628206 792931850 886217950 1205256412 1506570515 1585863700 1772435900 3013141030 6026282060 7532852575 15065705150 30131410300