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1130210000000 = 2757113021
BaseRepresentation
bin10000011100100101110…
…000111111110010000000
311000001021021111202221122
4100130211300333302000
5122004132230000000
62223113350411412
7144440441330204
oct20344560776200
94001237452848
101130210000000
113a6357098144
12163061060b68
1382769819213
143c9b9778b04
151e5ecc5c085
hex10725c3fc80

1130210000000 has 128 divisors (see below), whose sum is σ = 2814505490160. Its totient is φ = 452080000000.

The previous prime is 1130209999969. The next prime is 1130210000021. The reversal of 1130210000000 is 120311.

It can be written as a sum of positive squares in 8 ways, for example, as 939953518144 + 190256481856 = 969512^2 + 436184^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9943490 + ... + 10056510.

Almost surely, 21130210000000 is an apocalyptic number.

1130210000000 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 1130210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407252745080).

1130210000000 is an abundant number, since it is smaller than the sum of its proper divisors (1684295490160).

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

1130210000000 is an frugal number, since it uses more digits than its factorization.

1130210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113070 (or 113028 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1130210000000 its reverse (120311), we get a palindrome (1130210120311).

The spelling of 1130210000000 in words is "one trillion, one hundred thirty billion, two hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 113021 125000 156250 200000 226042 250000 312500 400000 452084 500000 565105 625000 904168 1000000 1130210 1250000 1808336 2000000 2260420 2500000 2825525 3616672 4520840 5000000 5651050 7233344 9041680 10000000 11302100 14127625 14466688 18083360 22604200 28255250 36166720 45208400 56510500 70638125 72333440 90416800 113021000 141276250 180833600 226042000 282552500 353190625 361667200 452084000 565105000 706381250 904168000 1130210000 1412762500 1765953125 1808336000 2260420000 2825525000 3531906250 4520840000 5651050000 7063812500 8829765625 9041680000 11302100000 14127625000 17659531250 22604200000 28255250000 35319062500 45208400000 56510500000 70638125000 113021000000 141276250000 226042000000 282552500000 565105000000 1130210000000