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1122313310120 = 23571395180743
BaseRepresentation
bin10000010101001111000…
…101100000111110101000
310222021212221111100220002
4100111033011200332220
5121341444201410440
62215330021122132
7144040653506552
oct20251705407650
93867787440802
101122313310120
113a2a74672162
12161618559348
1381aab808462
143c46aac44d2
151e2d986c115
hex1054f160fa8

1122313310120 has 32 divisors (see below), whose sum is σ = 2560771221120. Its totient is φ = 442602431040.

The previous prime is 1122313310113. The next prime is 1122313310123. The reversal of 1122313310120 is 210133132211.

It is a happy number.

It is a super-3 number, since 3×11223133101203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1122313310092 and 1122313310101.

It is not an unprimeable number, because it can be changed into a prime (1122313310123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197587532 + ... + 197593211.

It is an arithmetic number, because the mean of its divisors is an integer number (80024100660).

Almost surely, 21122313310120 is an apocalyptic number.

1122313310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122313310120 is an abundant number, since it is smaller than the sum of its proper divisors (1438457911000).

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

1122313310120 is a wasteful number, since it uses less digits than its factorization.

1122313310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395180825 (or 395180821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1122313310120 its reverse (210133132211), we get a palindrome (1332446442331).

The spelling of 1122313310120 in words is "one trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 395180743 790361486 1580722972 1975903715 3161445944 3951807430 7903614860 15807229720 28057832753 56115665506 112231331012 140289163765 224462662024 280578327530 561156655060 1122313310120