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133043130120 = 23356167271273
BaseRepresentation
bin111101111100111111…
…1010000111100001000
3110201102000010021100210
41323321333100330020
54134433020130440
6141041424001120
712416634642555
oct1737177207410
9421360107323
10133043130120
11514724188aa
122194ba601a0
13c7134aa544
1466216dba2c
1536da0c6a80
hex1ef9fd0f08

133043130120 has 128 divisors (see below), whose sum is σ = 411728826240. Its totient is φ = 34375587840.

The previous prime is 133043130097. The next prime is 133043130127. The reversal of 133043130120 is 21031340331.

It is not an unprimeable number, because it can be changed into a prime (133043130127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354804 + ... + 626076.

It is an arithmetic number, because the mean of its divisors is an integer number (3216631455).

Almost surely, 2133043130120 is an apocalyptic number.

133043130120 is a gapful number since it is divisible by the number (10) 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 133043130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205864413120).

133043130120 is an abundant number, since it is smaller than the sum of its proper divisors (278685696120).

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

133043130120 is a wasteful number, since it uses less digits than its factorization.

133043130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271415 (or 271411 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133043130120 its reverse (21031340331), we get a palindrome (154074470451).

The spelling of 133043130120 in words is "one hundred thirty-three billion, forty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 67 120 122 134 183 201 244 268 305 335 366 402 488 536 610 670 732 804 915 1005 1220 1340 1464 1608 1830 2010 2440 2680 3660 4020 4087 7320 8040 8174 12261 16348 20435 24522 32696 40870 49044 61305 81740 98088 122610 163480 245220 271273 490440 542546 813819 1085092 1356365 1627638 2170184 2712730 3255276 4069095 5425460 6510552 8138190 10850920 16276380 16547653 18175291 32552760 33095306 36350582 49642959 54525873 66190612 72701164 82738265 90876455 99285918 109051746 132381224 145402328 165476530 181752910 198571836 218103492 248214795 272629365 330953060 363505820 397143672 436206984 496429590 545258730 661906120 727011640 992859180 1090517460 1108692751 1985718360 2181034920 2217385502 3326078253 4434771004 5543463755 6652156506 8869542008 11086927510 13304313012 16630391265 22173855020 26608626024 33260782530 44347710040 66521565060 133043130120