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133213302030 = 235172333832927
BaseRepresentation
bin111110000010000100…
…0011010110100001110
3110201211212022220100010
41330010020122310032
54140310101131110
6141110343214050
712424102245564
oct1740410326416
9421755286303
10133213302030
115154a488546
1221998a47326
13c73c81cb93
14663a157a34
1536e9edd020
hex1f0421ad0e

133213302030 has 128 divisors (see below), whose sum is σ = 340975484928. Its totient is φ = 33192169472.

The previous prime is 133213302011. The next prime is 133213302073. The reversal of 133213302030 is 30203312331.

133213302030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133213301988 and 133213302006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45510427 + ... + 45513353.

It is an arithmetic number, because the mean of its divisors is an integer number (2663870976).

Almost surely, 2133213302030 is an apocalyptic number.

133213302030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133213302030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170487742464).

133213302030 is an abundant number, since it is smaller than the sum of its proper divisors (207762182898).

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

133213302030 is a wasteful number, since it uses less digits than its factorization.

133213302030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133213302030 its reverse (30203312331), we get a palindrome (163416614361).

The spelling of 133213302030 in words is "one hundred thirty-three billion, two hundred thirteen million, three hundred two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 233 255 383 466 510 699 766 1149 1165 1398 1915 2298 2330 2927 3495 3830 3961 5745 5854 6511 6990 7922 8781 11490 11883 13022 14635 17562 19533 19805 23766 29270 32555 39066 39610 43905 49759 59415 65110 87810 89239 97665 99518 118830 149277 178478 195330 248795 267717 298554 446195 497590 535434 681991 746385 892390 1121041 1338585 1363982 1492770 1517063 2045973 2242082 2677170 3034126 3363123 3409955 4091946 4551189 5605205 6726246 6819910 7585315 9102378 10229865 11210410 11593847 15170630 16815615 19057697 20459730 22755945 23187694 33631230 34781541 38115394 45511890 57173091 57969235 69563082 95288485 114346182 115938470 173907705 190576970 261202553 285865455 347815410 522405106 571730910 783607659 1306012765 1567215318 2612025530 3918038295 4440443401 7836076590 8880886802 13321330203 22202217005 26642660406 44404434010 66606651015 133213302030