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1003110031200 = 253521921998027
BaseRepresentation
bin11101001100011100000…
…01000101111101100000
310112220012110111101020210
432212032001011331200
5112413332131444300
62044453345134120
7132321000403254
oct16461601057540
93486173441223
101003110031200
11357464509412
121424ab62a340
13737926c66a4
143679d4d2264
151b15e7e2050
hexe98e045f60

1003110031200 has 144 divisors (see below), whose sum is σ = 3436971894720. Its totient is φ = 253417259520.

The previous prime is 1003110031171. The next prime is 1003110031271. The reversal of 1003110031200 is 21300113001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10953414 + ... + 11044613.

It is an arithmetic number, because the mean of its divisors is an integer number (23867860380).

Almost surely, 21003110031200 is an apocalyptic number.

1003110031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003110031200 is an abundant number, since it is smaller than the sum of its proper divisors (2433861863520).

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

1003110031200 is a wasteful number, since it uses less digits than its factorization.

1003110031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21998069 (or 21998056 counting only the distinct ones).

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

Adding to 1003110031200 its reverse (21300113001), we get a palindrome (1024410144201).

The spelling of 1003110031200 in words is "one trillion, three billion, one hundred ten million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 21998027 43996054 65994081 87992108 109990135 131988162 175984216 219980270 263976324 329970405 351968432 417962513 439960540 527952648 549950675 659940810 703936864 835925026 879921080 1055905296 1099901350 1253887539 1319881620 1649852025 1671850052 1759842160 2089812565 2111810592 2199802700 2507775078 2639763240 3299704050 3343700104 3519684320 4179625130 4399605400 5015550156 5279526480 6269437695 6599408100 6687400208 8359250260 8799210800 10031100312 10449062825 10559052960 12538875390 13198816200 13374800416 16718500520 17598421600 20062200624 20898125650 25077750780 26397632400 31347188475 33437001040 40124401248 41796251300 50155501560 52795264800 62694376950 66874002080 83592502600 100311003120 125388753900 167185005200 200622006240 250777507800 334370010400 501555015600 1003110031200