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1102220232032 = 25232959875267
BaseRepresentation
bin10000000010100001011…
…100100000010101100000
310220101000121211020111202
4100002201130200111200
5121024321334411112
62202204124500332
7142430021250143
oct20024134402540
93811017736452
101102220232032
113954a364a1a7
1215974b3aa6a8
137cc28a7183a
143b4c22d005a
151da108676c2
hex100a1720560

1102220232032 has 96 divisors (see below), whose sum is σ = 2382129388800. Its totient is φ = 500344058368.

The previous prime is 1102220232017. The next prime is 1102220232041. The reversal of 1102220232032 is 2302320222011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1102220231995 and 1102220232013.

It is a congruent number.

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, 821663 + ... + 1696929.

It is an arithmetic number, because the mean of its divisors is an integer number (24813847800).

Almost surely, 21102220232032 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 1102220232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191064694400).

1102220232032 is an abundant number, since it is smaller than the sum of its proper divisors (1279909156768).

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

1102220232032 is a wasteful number, since it uses less digits than its factorization.

1102220232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875388 (or 875380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1102220232032 its reverse (2302320222011), we get a palindrome (3404540454043).

The spelling of 1102220232032 in words is "one trillion, one hundred two billion, two hundred twenty million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 59 92 116 118 184 232 236 368 464 472 667 736 928 944 1334 1357 1711 1888 2668 2714 3422 5336 5428 6844 10672 10856 13688 21344 21712 27376 39353 43424 54752 78706 157412 314824 629648 875267 1259296 1750534 3501068 7002136 14004272 20131141 25382743 28008544 40262282 50765486 51640753 80524564 101530972 103281506 161049128 203061944 206563012 322098256 406123888 413126024 583803089 644196512 812247776 826252048 1167606178 1187737319 1497581837 1652504096 2335212356 2375474638 2995163674 4670424712 4750949276 5990327348 9340849424 9501898552 11980654696 18681698848 19003797104 23961309392 34444382251 38007594208 47922618784 68888764502 137777529004 275555058008 551110116016 1102220232032