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1130011310200 = 235230719339521
BaseRepresentation
bin10000011100011001111…
…011000011100001111000
311000000202102122021210011
4100130121323003201320
5122003230343411300
62223041532031304
7144432506440513
oct20343173034170
94000672567704
101130011310200
113a6264a1a5a3
12163006602534
13827376003a6
143c99b217d7a
151e5da5b0eba
hex10719ec3878

1130011310200 has 96 divisors (see below), whose sum is σ = 2637474784560. Its totient is φ = 450251827200.

The previous prime is 1130011310173. The next prime is 1130011310209. The reversal of 1130011310200 is 20131100311.

It is a super-2 number, since 2×11300113102002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130011310209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118681440 + ... + 118690960.

Almost surely, 21130011310200 is an apocalyptic number.

1130011310200 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 1130011310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318737392280).

1130011310200 is an abundant number, since it is smaller than the sum of its proper divisors (1507463474360).

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

1130011310200 is a wasteful number, since it uses less digits than its factorization.

1130011310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1130011310200 its reverse (20131100311), we get a palindrome (1150142410511).

The spelling of 1130011310200 in words is "one trillion, one hundred thirty billion, eleven million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 307 614 1228 1535 1933 2456 3070 3866 6140 7675 7732 9521 9665 12280 15350 15464 19042 19330 30700 38084 38660 47605 48325 61400 76168 77320 95210 96650 190420 193300 238025 380840 386600 476050 593431 952100 1186862 1904200 2373724 2922947 2967155 4747448 5845894 5934310 11691788 11868620 14614735 14835775 18404093 23383576 23737240 29229470 29671550 36808186 58458940 59343100 73073675 73616372 92020465 116917880 118686200 146147350 147232744 184040930 292294700 368081860 460102325 584589400 736163720 920204650 1840409300 3680818600 5650056551 11300113102 22600226204 28250282755 45200452408 56500565510 113001131020 141251413775 226002262040 282502827550 565005655100 1130011310200