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30131121343100 = 225210916971628947
BaseRepresentation
bin1101101100111011100101…
…10010001100101001111100
310221200111200122122010122212
412312131302302030221330
512422132014030434400
6144030013540355552
76226621163411351
oct666356262145174
9127614618563585
1030131121343100
11966759a532918
1234677436a5bb8
1313a74777282bb
147624d574c628
15373ba62dc335
hex1b6772c8ca7c

30131121343100 has 72 divisors (see below), whose sum is σ = 66023314914480. Its totient is φ = 11934831237120.

The previous prime is 30131121343049. The next prime is 30131121343153. The reversal of 30131121343100 is 134312113103.

It is a super-2 number, since 2×301311213431002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17682827 + ... + 19311773.

Almost surely, 230131121343100 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 30131121343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011657457240).

30131121343100 is an abundant number, since it is smaller than the sum of its proper divisors (35892193571380).

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

30131121343100 is a wasteful number, since it uses less digits than its factorization.

30131121343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630767 (or 1630760 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 30131121343100 its reverse (134312113103), we get a palindrome (30265433456203).

The spelling of 30131121343100 in words is "thirty trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 1697 2180 2725 3394 5450 6788 8485 10900 16970 33940 42425 84850 169700 184973 369946 739892 924865 1628947 1849730 3257894 3699460 4624325 6515788 8144735 9248650 16289470 18497300 32578940 40723675 81447350 162894700 177555223 355110446 710220892 887776115 1775552230 2764323059 3551104460 4438880575 5528646118 8877761150 11057292236 13821615295 17755522300 27643230590 55286461180 69108076475 138216152950 276432305900 301311213431 602622426862 1205244853724 1506556067155 3013112134310 6026224268620 7532780335775 15065560671550 30131121343100