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1120031001300 = 2235231412937401
BaseRepresentation
bin10000010011000111000…
…011001100101011010100
310222001222212221001202210
4100103013003030223110
5121322310414020200
62214311331233420
7143630261300151
oct20230703145324
93861885831683
101120031001300
113a2003334822
121610a0148870
1381806a18873
143c2d193d228
151e2042e2650
hex104c70ccad4

1120031001300 has 144 divisors (see below), whose sum is σ = 3426749673984. Its totient is φ = 281990400000.

The previous prime is 1120031001281. The next prime is 1120031001301. The reversal of 1120031001300 is 31001300211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120031001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087401 + ... + 1850000.

It is an arithmetic number, because the mean of its divisors is an integer number (23796872736).

Almost surely, 21120031001300 is an apocalyptic number.

1120031001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120031001300 is an abundant number, since it is smaller than the sum of its proper divisors (2306718672684).

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

1120031001300 is a wasteful number, since it uses less digits than its factorization.

1120031001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937490 (or 2937483 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1120031001300 its reverse (31001300211), we get a palindrome (1151032301511).

The spelling of 1120031001300 in words is "one trillion, one hundred twenty billion, thirty-one million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 41 50 60 62 75 82 93 100 123 124 150 155 164 186 205 246 300 310 372 410 465 492 615 620 775 820 930 1025 1230 1271 1550 1860 2050 2325 2460 2542 3075 3100 3813 4100 4650 5084 6150 6355 7626 9300 12300 12710 15252 19065 25420 31775 38130 63550 76260 95325 127100 190650 381300 2937401 5874802 8812203 11749604 14687005 17624406 29374010 35248812 44061015 58748020 73435025 88122030 91059431 120433441 146870050 176244060 182118862 220305075 240866882 273178293 293740100 361300323 364237724 440610150 455297155 481733764 546356586 602167205 722600646 881220300 910594310 1092713172 1204334410 1365891465 1445201292 1806501615 1821188620 2276485775 2408668820 2731782930 3010836025 3613003230 3733436671 4552971550 5463565860 6021672050 6829457325 7226006460 7466873342 9032508075 9105943100 11200310013 12043344100 13658914650 14933746684 18065016150 18667183355 22400620026 27317829300 36130032300 37334366710 44801240052 56001550065 74668733420 93335916775 112003100130 186671833550 224006200260 280007750325 373343667100 560015500650 1120031001300