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1001012101012 = 2272111513074777
BaseRepresentation
bin11101001000100001111…
…10000111111110010100
310112200210020212111001201
432210100332013332110
5112400033044213022
62043505243202244
7132215004316600
oct16442076077624
93480706774051
101001012101012
11356588264410
12142004b16384
1373519b81991
1436640a24500
151b08a538127
hexe910f87f94

1001012101012 has 72 divisors (see below), whose sum is σ = 2237749633728. Its totient is φ = 387421776000.

The previous prime is 1001012100989. The next prime is 1001012101079. The reversal of 1001012101012 is 2101012101001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001012101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211833 + ... + 1862944.

It is an arithmetic number, because the mean of its divisors is an integer number (31079856024).

Almost surely, 21001012101012 is an apocalyptic number.

It is an amenable number.

1001012101012 is an abundant number, since it is smaller than the sum of its proper divisors (1236737532716).

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

1001012101012 is a wasteful number, since it uses less digits than its factorization.

1001012101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074957 (or 3074948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001012101012 its reverse (2101012101001), we get a palindrome (3102024202013).

The spelling of 1001012101012 in words is "one trillion, one billion, twelve million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 151 154 196 302 308 539 604 1057 1078 1661 2114 2156 3322 4228 6644 7399 11627 14798 23254 29596 46508 81389 162778 325556 3074777 6149554 12299108 21523439 33822547 43046878 67645094 86093756 135290188 150664073 236757829 301328146 464291327 473515658 602656292 928582654 947031316 1657304803 1857165308 3250039289 3314609606 5107204597 6500078578 6629219212 10214409194 13000157156 20428818388 22750275023 35750432179 45500550046 71500864358 91001100092 143001728716 250253025253 500506050506 1001012101012