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101040440342052 = 223317321311746007
BaseRepresentation
bin10110111110010101001111…
…100011011111011000100100
3111020202101001000101012000010
4112332111033203133120210
5101220421310211421202
6554521200522050220
730165634206135201
oct2676251743373044
9436671030335003
10101040440342052
112a2160124aa662
12b3ba393049970
13444c0c378ba63
141ad45520ccca8
15ba34614ee76c
hex5be54f8df624

101040440342052 has 96 divisors (see below), whose sum is σ = 246815914369024. Its totient is φ = 32132097619200.

The previous prime is 101040440341963. The next prime is 101040440342053. The reversal of 101040440342052 is 250243044040101.

It is a super-3 number, since 3×1010404403420523 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101040440342053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56996433 + ... + 58742439.

Almost surely, 2101040440342052 is an apocalyptic number.

101040440342052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101040440342052 is an abundant number, since it is smaller than the sum of its proper divisors (145775474026972).

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

101040440342052 is a wasteful number, since it uses less digits than its factorization.

101040440342052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748249 (or 1748247 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 101040440342052 its reverse (250243044040101), we get a palindrome (351283484382153).

The spelling of 101040440342052 in words is "one hundred one trillion, forty billion, four hundred forty million, three hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 31 62 73 93 124 146 186 219 292 372 438 876 2131 2263 4262 4526 6393 6789 8524 9052 12786 13578 25572 27156 66061 132122 155563 198183 264244 311126 396366 466689 622252 792732 933378 1746007 1866756 3492014 4822453 5238021 6984028 9644906 10476042 14467359 19289812 20952084 28934718 54126217 57869436 108252434 127458511 162378651 216504868 254917022 324757302 382375533 509834044 649514604 764751066 1529502132 3720740917 3951213841 7441481834 7902427682 11162222751 11853641523 14882963668 15804855364 22324445502 23707283046 44648891004 47414566092 115342968427 230685936854 271614086941 346028905281 461371873708 543228173882 692057810562 814842260823 1086456347764 1384115621124 1629684521646 3259369043292 8420036695171 16840073390342 25260110085513 33680146780684 50520220171026 101040440342052