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1231320020100 = 2235247611431601
BaseRepresentation
bin10001111010110000011…
…001000111010010000100
311100201020210211222111220
4101322300121013102010
5130133220411120400
62341354405200340
7154650154324002
oct21726031072204
94321223758456
101231320020100
11435222061825
1217a77a7000b0
138c1612a7391
144384bdc5a72
152206965b7a0
hex11eb0647484

1231320020100 has 144 divisors (see below), whose sum is σ = 3698068475136. Its totient is φ = 316097280000.

The previous prime is 1231320020087. The next prime is 1231320020107. The reversal of 1231320020100 is 10200231321.

It is a super-2 number, since 2×12313200201002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1231320020100.

It is not an unprimeable number, because it can be changed into a prime (1231320020107) 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, 144300 + ... + 1575900.

Almost surely, 21231320020100 is an apocalyptic number.

1231320020100 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 1231320020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849034237568).

1231320020100 is an abundant number, since it is smaller than the sum of its proper divisors (2466748455036).

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

1231320020100 is a wasteful number, since it uses less digits than its factorization.

1231320020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431726 (or 1431719 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1231320020100 its reverse (10200231321), we get a palindrome (1241520251421).

The spelling of 1231320020100 in words is "one trillion, two hundred thirty-one billion, three hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 61 75 94 100 122 141 150 183 188 235 244 282 300 305 366 470 564 610 705 732 915 940 1175 1220 1410 1525 1830 2350 2820 2867 3050 3525 3660 4575 4700 5734 6100 7050 8601 9150 11468 14100 14335 17202 18300 28670 34404 43005 57340 71675 86010 143350 172020 215025 286700 430050 860100 1431601 2863202 4294803 5726404 7158005 8589606 14316010 17179212 21474015 28632020 35790025 42948030 67285247 71580050 85896060 87327661 107370075 134570494 143160100 174655322 201855741 214740150 261982983 269140988 336426235 349310644 403711482 429480300 436638305 523965966 672852470 807422964 873276610 1009278705 1047931932 1309914915 1345704940 1682131175 1746553220 2018557410 2183191525 2619829830 3364262350 4037114820 4104400067 4366383050 5046393525 5239659660 6549574575 6728524700 8208800134 8732766100 10092787050 12313200201 13099149150 16417600268 20185574100 20522000335 24626400402 26198298300 41044000670 49252800804 61566001005 82088001340 102610001675 123132002010 205220003350 246264004020 307830005025 410440006700 615660010050 1231320020100