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211431242304 = 2633891374787
BaseRepresentation
bin1100010011101001001…
…0001011101001000000
3202012202000011221222000
43010322102023221000
511431002344223204
6241044041144000
721163314623022
oct3047222135100
9665660157860
10211431242304
1181738473797
1234b87a8b000
1316c266a6689
14a33a36a012
155776ce9039
hex313a48ba40

211431242304 has 112 divisors (see below), whose sum is σ = 628553073600. Its totient is φ = 69685152768.

The previous prime is 211431242303. The next prime is 211431242311. The reversal of 211431242304 is 403242134112.

211431242304 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 312 + 42 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211431242303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533602 + ... + 841185.

Almost surely, 2211431242304 is an apocalyptic number.

211431242304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211431242304 is an abundant number, since it is smaller than the sum of its proper divisors (417121831296).

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

211431242304 is a wasteful number, since it uses less digits than its factorization.

211431242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374897 (or 1374881 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211431242304 its reverse (403242134112), we get a palindrome (614673376416).

The spelling of 211431242304 in words is "two hundred eleven billion, four hundred thirty-one million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 144 178 192 216 267 288 356 432 534 576 712 801 864 1068 1424 1602 1728 2136 2403 2848 3204 4272 4806 5696 6408 8544 9612 12816 17088 19224 25632 38448 51264 76896 153792 1374787 2749574 4124361 5499148 8248722 10998296 12373083 16497444 21996592 24746166 32994888 37119249 43993184 49492332 65989776 74238498 87986368 98984664 122356043 131979552 148476996 197969328 244712086 263959104 296953992 367068129 395938656 489424172 593907984 734136258 791877312 978848344 1101204387 1187815968 1468272516 1957696688 2202408774 2375631936 2936545032 3303613161 3915393376 4404817548 5873090064 6607226322 7830786752 8809635096 11746180128 13214452644 17619270192 23492360256 26428905288 35238540384 52857810576 70477080768 105715621152 211431242304