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1005115442212 = 2271917627107183
BaseRepresentation
bin11101010000001011000…
…11001000010000100100
310120002101020000210222201
432220011203020100210
5112431434023122322
62045424344104244
7132421461202510
oct16500543102044
93502336023881
101005115442212
113582a3511392
1214296b165084
1373a2201691b
143690d999140
151b22a8c2d27
hexea058c8424

1005115442212 has 48 divisors (see below), whose sum is σ = 2116172298240. Its totient is φ = 408065025312.

The previous prime is 1005115442189. The next prime is 1005115442213. The reversal of 1005115442212 is 2122445115001.

It is a super-2 number, since 2×10051154422122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1005115442213) 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, 9323973 + ... + 9431155.

It is an arithmetic number, because the mean of its divisors is an integer number (44086922880).

Almost surely, 21005115442212 is an apocalyptic number.

It is an amenable number.

1005115442212 is an abundant number, since it is smaller than the sum of its proper divisors (1111056856028).

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

1005115442212 is a wasteful number, since it uses less digits than its factorization.

1005115442212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124840 (or 124838 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 1005115442212 in words is "one trillion, five billion, one hundred fifteen million, four hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 17627 35254 70508 107183 123389 214366 246778 334913 428732 493556 669826 750281 1339652 1500562 2036477 2344391 3001124 4072954 4688782 8145908 9377564 14255339 28510678 57021356 1889314741 3778629482 7557258964 13225203187 26450406374 35896980079 52900812748 71793960158 143587920316 251278860553 502557721106 1005115442212