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1131310000000 = 2757113131
BaseRepresentation
bin10000011101100111010…
…101001010011110000000
311000011002221100120021101
4100131213111022132000
5122013410330000000
62223414443304144
7144506626223245
oct20354725123600
94004087316241
101131310000000
113a6871002454
1216330951b054
13828b3699bab
143ca818b75cc
151e6645e2e6a
hex1076754a780

1131310000000 has 128 divisors (see below), whose sum is σ = 2817244740960. Its totient is φ = 452520000000.

The previous prime is 1131309999973. The next prime is 1131310000021. The reversal of 1131310000000 is 131311.

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

It is a super-2 number, since 2×11313100000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 9943435 + ... + 10056565.

Almost surely, 21131310000000 is an apocalyptic number.

1131310000000 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 1131310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408622370480).

1131310000000 is an abundant number, since it is smaller than the sum of its proper divisors (1685934740960).

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

1131310000000 is an frugal number, since it uses more digits than its factorization.

1131310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113180 (or 113138 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1131310000000 its reverse (131311), we get a palindrome (1131310131311).

The spelling of 1131310000000 in words is "one trillion, one hundred thirty-one billion, three 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 113131 125000 156250 200000 226262 250000 312500 400000 452524 500000 565655 625000 905048 1000000 1131310 1250000 1810096 2000000 2262620 2500000 2828275 3620192 4525240 5000000 5656550 7240384 9050480 10000000 11313100 14141375 14480768 18100960 22626200 28282750 36201920 45252400 56565500 70706875 72403840 90504800 113131000 141413750 181009600 226262000 282827500 353534375 362019200 452524000 565655000 707068750 905048000 1131310000 1414137500 1767671875 1810096000 2262620000 2828275000 3535343750 4525240000 5656550000 7070687500 8838359375 9050480000 11313100000 14141375000 17676718750 22626200000 28282750000 35353437500 45252400000 56565500000 70706875000 113131000000 141413750000 226262000000 282827500000 565655000000 1131310000000