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1010010111200 = 255212263102953
BaseRepresentation
bin11101011001010010100…
…10110011110011100000
310120120000100012202120022
432230221102303303200
5113022000042024300
62051554153533012
7132653664202466
oct16545122636340
93516010182508
101010010111200
1135a385416672
121438b6414168
13743220b636c
1436c55a7c836
151b415470285
hexeb294b3ce0

1010010111200 has 72 divisors (see below), whose sum is σ = 2465912202768. Its totient is φ = 403967175680.

The previous prime is 1010010111113. The next prime is 1010010111217. The reversal of 1010010111200 is 21110100101.

It is a happy number.

1010010111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9758924 + ... + 9861876.

It is an arithmetic number, because the mean of its divisors is an integer number (34248780594).

Almost surely, 21010010111200 is an apocalyptic number.

1010010111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010111200 is an abundant number, since it is smaller than the sum of its proper divisors (1455902091568).

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

1010010111200 is a wasteful number, since it uses less digits than its factorization.

1010010111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115236 (or 115223 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010010111200 its reverse (21110100101), we get a palindrome (1031120211301).

The spelling of 1010010111200 in words is "one trillion, ten billion, ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12263 24526 49052 61315 98104 102953 122630 196208 205906 245260 306575 392416 411812 490520 514765 613150 823624 981040 1029530 1226300 1647248 1962080 2059060 2452600 2573825 3294496 4118120 4905200 5147650 8236240 9810400 10295300 16472480 20590600 41181200 82362400 1262512639 2525025278 5050050556 6312563195 10100101112 12625126390 20200202224 25250252780 31562815975 40400404448 50500505560 63125631950 101001011120 126251263900 202002022240 252502527800 505005055600 1010010111200