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1013121233100 = 2232523136312589
BaseRepresentation
bin11101011111000101011…
…10110011000011001100
310120212001011100010111100
432233202232303003030
5113044333013424400
62053231012023100
7133124042251644
oct16574256630314
93525034303440
101013121233100
11360731584599
12144424301a90
13746c98067b2
143706cd2d524
151b548664100
hexebe2bb30cc

1013121233100 has 108 divisors (see below), whose sum is σ = 3278010124480. Its totient is φ = 261450633600.

The previous prime is 1013121233029. The next prime is 1013121233123. The reversal of 1013121233100 is 13321213101.

1013121233100 is a `hidden beast` number, since 10 + 1 + 312 + 12 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×10131212331002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18128395 + ... + 18184194.

Almost surely, 21013121233100 is an apocalyptic number.

1013121233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013121233100 is an abundant number, since it is smaller than the sum of its proper divisors (2264888891380).

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

1013121233100 is a wasteful number, since it uses less digits than its factorization.

1013121233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36312640 (or 36312630 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013121233100 its reverse (13321213101), we get a palindrome (1026442446201).

The spelling of 1013121233100 in words is "one trillion, thirteen billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 9300 13950 27900 36312589 72625178 108937767 145250356 181562945 217875534 326813301 363125890 435751068 544688835 653626602 726251780 907814725 1089377670 1125690259 1307253204 1634066505 1815629450 2178755340 2251380518 2723444175 3268133010 3377070777 3631258900 4502761036 5446888350 5628451295 6536266020 6754141554 8170332525 10131212331 10893776700 11256902590 13508283108 16340665050 16885353885 20262424662 22513805180 28142256475 32681330100 33770707770 40524849324 50656061655 56284512950 67541415540 84426769425 101312123310 112569025900 168853538850 202624246620 253280308275 337707077700 506560616550 1013121233100