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220000312010312 = 231729261730117079
BaseRepresentation
bin110010000001011011010000…
…011100101010011001001000
31001211221211021000012022220122
4302001123100130222121020
5212313441114333312222
62055522425331042412
764224332551360451
oct6201332034523110
91054854230168818
10220000312010312
116410a676808349
122081164b440408
13959ac2c0b72b2
143c481014a0128
151a67aa6507a42
hexc816d072a648

220000312010312 has 128 divisors (see below), whose sum is σ = 452212836768000. Its totient is φ = 99874081628160.

The previous prime is 220000312010251. The next prime is 220000312010377. The reversal of 220000312010312 is 213010213000022.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31077876389 + ... + 31077883467.

It is an arithmetic number, because the mean of its divisors is an integer number (3532912787250).

Almost surely, 2220000312010312 is an apocalyptic number.

It is an amenable number.

220000312010312 is an abundant number, since it is smaller than the sum of its proper divisors (232212524757688).

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

220000312010312 is a wasteful number, since it uses less digits than its factorization.

220000312010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 220000312010312 its reverse (213010213000022), we get a palindrome (433010525010334).

The spelling of 220000312010312 in words is "two hundred twenty trillion, three hundred twelve million, ten thousand, three hundred twelve".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 493 986 1972 2617 3011 3944 5234 6022 7079 10468 12044 14158 20936 24088 28316 44489 51187 56632 75893 87319 88978 102374 120343 151786 174638 177956 204748 205291 240686 303572 349276 355912 409496 410582 481372 607144 698552 821164 962744 1290181 1484423 1642328 2580362 2968846 3489947 5160724 5937692 6979894 7879787 10321448 11875384 13959788 15759574 18525743 21314869 27919576 31519148 37051486 42629738 63038296 74102972 85259476 133956379 148205944 170518952 228513823 267912758 314937631 362352773 457027646 535825516 537246547 618131201 629875262 724705546 914055292 1071651032 1074493094 1236262402 1259750524 1449411092 1828110584 2148986188 2472524804 2519501048 2898822184 3884734991 4297972376 4945049608 7769469982 9133191299 10508230417 15538939964 18266382598 21016460834 31077879928 36532765196 42032921668 55781012173 73065530392 84065843336 111562024346 223124048692 446248097384 948277206941 1617649353017 1896554413882 3235298706034 3793108827764 6470597412068 7586217655528 12941194824136 27500039001289 55000078002578 110000156005156 220000312010312