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215134010112 = 2837131305477
BaseRepresentation
bin1100100001011011111…
…1000111101100000000
3202120022001121001111110
43020112333013230000
512011043301310422
6242455312243320
721354135625320
oct3102677075400
9676261531443
10215134010112
11832685a3a7a
123583bb40540
1317396859048
14a5ac02b280
1558e1e0a60c
hex3216fc7b00

215134010112 has 144 divisors (see below), whose sum is σ = 659363265792. Its totient is φ = 60997447680.

The previous prime is 215134010101. The next prime is 215134010129. The reversal of 215134010112 is 211010431512.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551518 + ... + 856994.

It is an arithmetic number, because the mean of its divisors is an integer number (4578911568).

Almost surely, 2215134010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215134010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329681632896).

215134010112 is an abundant number, since it is smaller than the sum of its proper divisors (444229255680).

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

215134010112 is a wasteful number, since it uses less digits than its factorization.

215134010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305634 (or 305620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 215134010112 its reverse (211010431512), we get a palindrome (426144441624).

The spelling of 215134010112 in words is "two hundred fifteen billion, one hundred thirty-four million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 256 262 336 384 393 448 524 672 768 786 896 917 1048 1344 1572 1792 1834 2096 2688 2751 3144 3668 4192 5376 5502 6288 7336 8384 11004 12576 14672 16768 22008 25152 29344 33536 44016 50304 58688 88032 100608 117376 176064 234752 305477 352128 610954 704256 916431 1221908 1832862 2138339 2443816 3665724 4276678 4887632 6415017 7331448 8553356 9775264 12830034 14662896 17106712 19550528 25660068 29325792 34213424 39101056 40017487 51320136 58651584 68426848 78202112 80034974 102640272 117303168 120052461 136853696 160069948 205280544 234606336 240104922 273707392 280122409 320139896 410561088 480209844 547414784 560244818 640279792 821122176 840367227 960419688 1120489636 1280559584 1642244352 1680734454 1920839376 2240979272 2561119168 3361468908 3841678752 4481958544 5122238336 6722937816 7683357504 8963917088 10244476672 13445875632 15366715008 17927834176 26891751264 30733430016 35855668352 53783502528 71711336704 107567005056 215134010112