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1012202011100 = 2252721787115597
BaseRepresentation
bin11101011101010111111…
…00001111100111011100
310120202200002122210222002
432232223330033213130
5113040442203323400
62052555453541432
7133062211064300
oct16565374174734
93522602583862
101012202011100
113602aa713495
121442084a4878
13745b123cb57
1436dc2c0bd00
151b4e2adbed5
hexebabf0f9dc

1012202011100 has 108 divisors (see below), whose sum is σ = 2556539011656. Its totient is φ = 346843486080.

The previous prime is 1012202011097. The next prime is 1012202011111. The reversal of 1012202011100 is 11102022101.

It is a super-2 number, since 2×10122020111002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 8698502 + ... + 8814098.

Almost surely, 21012202011100 is an apocalyptic number.

1012202011100 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 1012202011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278269505828).

1012202011100 is an abundant number, since it is smaller than the sum of its proper divisors (1544337000556).

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

1012202011100 is a wasteful number, since it uses less digits than its factorization.

1012202011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117412 (or 117398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1012202011100 its reverse (11102022101), we get a palindrome (1023304033201).

The spelling of 1012202011100 in words is "one trillion, twelve billion, two hundred two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1787 2450 3574 4900 7148 8935 12509 17870 25018 35740 44675 50036 62545 87563 89350 115597 125090 175126 178700 231194 250180 312725 350252 437815 462388 577985 625450 809179 875630 1155970 1250900 1618358 1751260 2189075 2311940 2889925 3236716 4045895 4378150 5664253 5779850 8091790 8756300 11328506 11559700 16183580 20229475 22657012 28321265 40458950 56642530 80917900 113285060 141606325 206571839 283212650 413143678 566425300 826287356 1032859195 1446002873 2065718390 2892005746 4131436780 5164295975 5784011492 7230014365 10122020111 10328591950 14460028730 20244040222 20657183900 28920057460 36150071825 40488080444 50610100555 72300143650 101220201110 144600287300 202440402220 253050502775 506101005550 1012202011100