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133104054420 = 2232517291499933
BaseRepresentation
bin111101111110110011…
…1101011000010010100
3110201120020202112210100
41323331213223002110
54140044114220140
6141051441454100
712421304536461
oct1737547530224
9421506675710
10133104054420
11514a3850167
1221968341330
13c722cbc11c
14662983a668
1536e060d530
hex1efd9eb094

133104054420 has 144 divisors (see below), whose sum is σ = 442240540560. Its totient is φ = 32254537728.

The previous prime is 133104054401. The next prime is 133104054427. The reversal of 133104054420 is 24450401331.

It is a happy number.

133104054420 is a `hidden beast` number, since 13 + 3 + 104 + 0 + 544 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4792515984 + 128311538436 = 69228^2 + 358206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133104054427) 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, 661227 + ... + 838706.

It is an arithmetic number, because the mean of its divisors is an integer number (3071114865).

Almost surely, 2133104054420 is an apocalyptic number.

133104054420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133104054420 is an abundant number, since it is smaller than the sum of its proper divisors (309136486140).

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

133104054420 is a wasteful number, since it uses less digits than its factorization.

133104054420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499994 (or 1499989 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 133104054420 its reverse (24450401331), we get a palindrome (157554455751).

The spelling of 133104054420 in words is "one hundred thirty-three billion, one hundred four million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2958 3060 4437 4930 5220 5916 7395 8874 9860 14790 17748 22185 29580 44370 88740 1499933 2999866 4499799 5999732 7499665 8999598 13499397 14999330 17999196 22498995 25498861 26998794 29998660 43498057 44997990 50997722 53997588 67496985 76496583 86996114 89995980 101995444 127494305 130494171 134993970 152993166 173992228 217490285 229489749 254988610 260988342 269987940 305986332 382482915 391482513 434980570 458979498 509977220 521976684 652470855 739466969 764965830 782965026 869961140 917958996 1147448745 1304941710 1478933938 1529931660 1565930052 1957412565 2218400907 2294897490 2609883420 2957867876 3697334845 3914825130 4436801814 4589794980 6655202721 7394669690 7829650260 8873603628 11092004535 13310405442 14789339380 22184009070 26620810884 33276013605 44368018140 66552027210 133104054420