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30100231203232 = 2529433180141593
BaseRepresentation
bin1101101100000010000011…
…00101101010100110100000
310221120112221212101102221111
412312001001211222212200
512421130233142000412
6144003504425433104
76224445534511501
oct666010145524640
9127515855342844
1030100231203232
119655488891603
12346176263b794
1313a4593b0c828
14760c04dd2ba8
15372e994832a7
hex1b604196a9a0

30100231203232 has 96 divisors (see below), whose sum is σ = 61480445780880. Its totient is φ = 14489188761600.

The previous prime is 30100231203227. The next prime is 30100231203257. The reversal of 30100231203232 is 23230213200103.

It can be written as a sum of positive squares in 8 ways, for example, as 1210079201296 + 28890152001936 = 1100036^2 + 5374956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723664228 + ... + 723705820.

Almost surely, 230100231203232 is an apocalyptic number.

30100231203232 is a gapful number since it is divisible by the number (32) 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 30100231203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30740222890440).

30100231203232 is an abundant number, since it is smaller than the sum of its proper divisors (31380214577648).

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

30100231203232 is a wasteful number, since it uses less digits than its factorization.

30100231203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43866 (or 43858 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 30100231203232 its reverse (23230213200103), we get a palindrome (53330444403335).

The spelling of 30100231203232 in words is "thirty trillion, one hundred billion, two hundred thirty-one million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 433 464 866 928 1732 1801 3464 3602 6928 7204 12557 13856 14408 25114 28816 41593 50228 52229 57632 83186 100456 104458 166372 200912 208916 332744 401824 417832 665488 779833 835664 1206197 1330976 1559666 1671328 2412394 3119332 4824788 6238664 9649576 12477328 18009769 19299152 22615157 24954656 36019538 38598304 45230314 72039076 74908993 90460628 144078152 149817986 180921256 288156304 299635972 361842512 522283301 576312608 599271944 723685024 1044566602 1198543888 2089133204 2172360797 2397087776 4178266408 4344721594 8356532816 8689443188 16713065632 17378886376 32435593969 34757772752 64871187938 69515545504 129742375876 259484751752 518969503504 940632225101 1037939007008 1881264450202 3762528900404 7525057800808 15050115601616 30100231203232