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1011312312100 = 225210113123121
BaseRepresentation
bin11101011011101101110…
…10010011111100100100
310120200101002112102101021
432231312322103330210
5113032131422441400
62052331312340524
7133031155550536
oct16556672237444
93520332472337
101011312312100
1135a993487462
12143bba544744
137449bb1203c
1436d3a9b3856
151b48e94771a
hexeb76e93f24

1011312312100 has 18 divisors (see below), whose sum is σ = 2194547717474. Its totient is φ = 404524924800.

The previous prime is 1011312312007. The next prime is 1011312312151. The reversal of 1011312312100 is 12132131101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 356559459876 + 654752852224 = 597126^2 + 809168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5056561461 + ... + 5056561660.

Almost surely, 21011312312100 is an apocalyptic number.

1011312312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011312312100 is an abundant number, since it is smaller than the sum of its proper divisors (1183235405374).

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

1011312312100 is a wasteful number, since it uses less digits than its factorization.

1011312312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113123135 (or 10113123128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1011312312100 its reverse (12132131101), we get a palindrome (1023444443201).

The spelling of 1011312312100 in words is "one trillion, eleven billion, three hundred twelve million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10113123121 20226246242 40452492484 50565615605 101131231210 202262462420 252828078025 505656156050 1011312312100