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112202030320 = 24553181146203
BaseRepresentation
bin110100001111111000…
…0110001110011110000
3101201121112220201002121
41220133300301303300
53314242204432240
6123313410524024
711051320343632
oct1503760616360
9351545821077
10112202030320
1143648137086
12198b4296614
13a77178c723
14560582ca52
152dba5b604a
hex1a1fc31cf0

112202030320 has 80 divisors (see below), whose sum is σ = 267262081632. Its totient is φ = 43790423040.

The previous prime is 112202030309. The next prime is 112202030321. The reversal of 112202030320 is 23030202211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112202030294 and 112202030303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202030321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694339 + ... + 840541.

Almost surely, 2112202030320 is an apocalyptic number.

112202030320 is a gapful number since it is divisible by the number (10) 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 112202030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133631040816).

112202030320 is an abundant number, since it is smaller than the sum of its proper divisors (155060051312).

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

112202030320 is a wasteful number, since it uses less digits than its factorization.

112202030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146450 (or 146444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 112202030320 its reverse (23030202211), we get a palindrome (135232232531).

The spelling of 112202030320 in words is "one hundred twelve billion, two hundred two million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 181 212 265 362 424 530 724 848 905 1060 1448 1810 2120 2896 3620 4240 7240 9593 14480 19186 38372 47965 76744 95930 146203 153488 191860 292406 383720 584812 731015 767440 1169624 1462030 2339248 2924060 5848120 7748759 11696240 15497518 26462743 30995036 38743795 52925486 61990072 77487590 105850972 123980144 132313715 154975180 211701944 264627430 309950360 423403888 529254860 619900720 1058509720 1402525379 2117019440 2805050758 5610101516 7012626895 11220203032 14025253790 22440406064 28050507580 56101015160 112202030320