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101453211816 = 233112307113797
BaseRepresentation
bin101111001111100010…
…1010010100010101000
3100200212110010011002120
41132133011102202220
53130234010234231
6114335034231240
710221051033435
oct1363705224250
9320773104076
10101453211816
113a031769700
12177b4585520
13974a8cc4a8
144ca6064b8c
15298bae0d96
hex179f1528a8

101453211816 has 96 divisors (see below), whose sum is σ = 279697276320. Its totient is φ = 30642986880.

The previous prime is 101453211787. The next prime is 101453211833. The reversal of 101453211816 is 618112354101.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 834630 + ... + 948426.

It is an arithmetic number, because the mean of its divisors is an integer number (2913513295).

Almost surely, 2101453211816 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 101453211816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139848638160).

101453211816 is an abundant number, since it is smaller than the sum of its proper divisors (178244064504).

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

101453211816 is a wasteful number, since it uses less digits than its factorization.

101453211816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114135 (or 114120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 101453211816 its reverse (618112354101), we get a palindrome (719565565917).

The spelling of 101453211816 in words is "one hundred one billion, four hundred fifty-three million, two hundred eleven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 307 363 484 614 726 921 968 1228 1452 1842 2456 2904 3377 3684 6754 7368 10131 13508 20262 27016 37147 40524 74294 81048 111441 113797 148588 222882 227594 297176 341391 445764 455188 682782 891528 910376 1251767 1365564 2503534 2731128 3755301 5007068 7510602 10014136 13769437 15021204 27538874 30042408 34935679 41308311 55077748 69871358 82616622 104807037 110155496 139742716 165233244 209614074 279485432 330466488 384292469 419228148 768584938 838456296 1152877407 1537169876 2305754814 3074339752 4227217159 4611509628 8454434318 9223019256 12681651477 16908868636 25363302954 33817737272 50726605908 101453211816