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1310112100000 = 2555111191011
BaseRepresentation
bin10011000100001000110…
…001000010111010100000
311122020121222001100122101
4103010020301002322200
5132431102144200000
62441505053020144
7163436541052444
oct23041061027240
94566558040571
101310112100000
11465685142630
12191aa9a84654
139670a0a3a72
14475a456c824
152412ba77e6a
hex13108c42ea0

1310112100000 has 144 divisors (see below), whose sum is σ = 3516982211232. Its totient is φ = 476404000000.

The previous prime is 1310112099979. The next prime is 1310112100007. The reversal of 1310112100000 is 12110131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1310112100000.

It is not an unprimeable number, because it can be changed into a prime (1310112100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504495 + ... + 1695505.

It is an arithmetic number, because the mean of its divisors is an integer number (24423487578).

Almost surely, 21310112100000 is an apocalyptic number.

1310112100000 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 1310112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758491105616).

1310112100000 is an abundant number, since it is smaller than the sum of its proper divisors (2206870111232).

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

1310112100000 is an equidigital number, since it uses as much as digits as its factorization.

1310112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191057 (or 1191029 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1310112100000 its reverse (12110131), we get a palindrome (1310124210131).

The spelling of 1310112100000 in words is "one trillion, three hundred ten billion, one hundred twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 1191011 2382022 4764044 5955055 9528088 11910110 13101121 19056176 23820220 26202242 29775275 38112352 47640440 52404484 59550550 65505605 95280880 104808968 119101100 131011210 148876375 190561760 209617936 238202200 262022420 297752750 327528025 419235872 476404400 524044840 595505500 655056050 744381875 952808800 1048089680 1191011000 1310112100 1488763750 1637640125 2096179360 2382022000 2620224200 2977527500 3275280250 3721909375 4764044000 5240448400 5955055000 6550560500 7443818750 8188200625 10480896800 11910110000 13101121000 14887637500 16376401250 23820220000 26202242000 29775275000 32752802500 40941003125 52404484000 59550550000 65505605000 81882006250 119101100000 131011210000 163764012500 262022420000 327528025000 655056050000 1310112100000