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1110132400032 = 2534500385607
BaseRepresentation
bin10000001001111001000…
…011000001111110100000
310221010110000222000120000
4100021321003001332200
5121142022343300112
62205553210020000
7143130054464265
oct20117103017640
93833400860500
101110132400032
11398893887117
1215b199117600
13808ba041756
143ba3305326c
151dd252b37dc
hex102790c1fa0

1110132400032 has 120 divisors (see below), whose sum is σ = 3265559279136. Its totient is φ = 369965847168.

The previous prime is 1110132399991. The next prime is 1110132400103. The reversal of 1110132400032 is 2300042310111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1110132399978 and 1110132400014.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12924973 + ... + 13010579.

Almost surely, 21110132400032 is an apocalyptic number.

1110132400032 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 1110132400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632779639568).

1110132400032 is an abundant number, since it is smaller than the sum of its proper divisors (2155426879104).

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

1110132400032 is an equidigital number, since it uses as much as digits as its factorization.

1110132400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90632 (or 90615 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1110132400032 its reverse (2300042310111), we get a palindrome (3410174710143).

The spelling of 1110132400032 in words is "one trillion, one hundred ten billion, one hundred thirty-two million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5003 10006 15009 20012 30018 40024 45027 60036 80048 85607 90054 120072 135081 160096 171214 180108 240144 256821 270162 342428 360216 405243 480288 513642 540324 684856 720432 770463 810486 1027284 1080648 1369712 1440864 1540926 1620972 2054568 2161296 2311389 2739424 3081852 3241944 4109136 4322592 4622778 6163704 6483888 6934167 8218272 9245556 12327408 12967776 13868334 18491112 24654816 27736668 36982224 55473336 73964448 110946672 221893344 428291821 856583642 1284875463 1713167284 2569750926 3426334568 3854626389 5139501852 6852669136 7709252778 10279003704 11563879167 13705338272 15418505556 20558007408 23127758334 30837011112 34691637501 41116014816 46255516668 61674022224 69383275002 92511033336 123348044448 138766550004 185022066672 277533100008 370044133344 555066200016 1110132400032