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1103222103312 = 243743355721467
BaseRepresentation
bin10000000011011101001…
…010010101110100010000
310220110121110000120112110
4100003131022111310100
5121033344324301222
62202451354225320
7142463605103520
oct20033512256420
93813543016473
101103222103312
1139596813099a
1215998aa25240
13800584b5694
143b5793a7680
151da6d7b830c
hex100dd295d10

1103222103312 has 160 divisors (see below), whose sum is σ = 3333971469312. Its totient is φ = 307775043072.

The previous prime is 1103222103281. The next prime is 1103222103337. The reversal of 1103222103312 is 2133012223011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51380803 + ... + 51402269.

Almost surely, 21103222103312 is an apocalyptic number.

1103222103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103222103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666985734656).

1103222103312 is an abundant number, since it is smaller than the sum of its proper divisors (2230749366000).

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

1103222103312 is a wasteful number, since it uses less digits than its factorization.

1103222103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25085 (or 25079 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1103222103312 its reverse (2133012223011), we get a palindrome (3236234326323).

The spelling of 1103222103312 in words is "one trillion, one hundred three billion, two hundred twenty-two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3557 3612 4816 7114 7224 10671 14228 14448 21342 21467 24899 28456 42684 42934 49798 56912 64401 74697 85368 85868 99596 128802 149394 150269 152951 170736 171736 199192 257604 298788 300538 305902 343472 398384 450807 458853 515208 597576 601076 611804 901614 917706 923081 1030416 1070657 1195152 1202152 1223608 1803228 1835412 1846162 2141314 2404304 2447216 2769243 3211971 3606456 3670824 3692324 4282628 5538486 6423942 6461567 7212912 7341648 7384648 8565256 11076972 12847884 12923134 14769296 17130512 19384701 22153944 25695768 25846268 38769402 44307888 51391536 51692536 76358119 77538804 103385072 152716238 155077608 229074357 305432476 310155216 458148714 534506833 610864952 916297428 1069013666 1221729904 1603520499 1832594856 2138027332 3207040998 3283399117 3665189712 4276054664 6414081996 6566798234 8552109328 9850197351 12828163992 13133596468 19700394702 22983793819 25656327984 26267192936 39400789404 45967587638 52534385872 68951381457 78801578808 91935175276 137902762914 157603157616 183870350552 275805525828 367740701104 551611051656 1103222103312