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1310020100032 = 2679754195563
BaseRepresentation
bin10011000100000011010…
…010000101111111000000
311122020101112221021102011
4103010003102011333000
5132430410121200112
62441452005102304
7163434343060120
oct23040322057700
94566345837364
101310020100032
114656382156a6
12191a830b7994
13966c4001707
1447596260c80
1524123953aa7
hex13103485fc0

1310020100032 has 112 divisors (see below), whose sum is σ = 3002660227840. Its totient is φ = 555446771712.

The previous prime is 1310020099979. The next prime is 1310020100093. The reversal of 1310020100032 is 2300010200131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1310020099985 and 1310020100021.

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, 235485283 + ... + 235490845.

It is an arithmetic number, because the mean of its divisors is an integer number (26809466320).

Almost surely, 21310020100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310020100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501330113920).

1310020100032 is an abundant number, since it is smaller than the sum of its proper divisors (1692640127808).

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

1310020100032 is an equidigital number, since it uses as much as digits as its factorization.

1310020100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11098 (or 11088 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1310020100032 its reverse (2300010200131), we get a palindrome (3610030300163).

The spelling of 1310020100032 in words is "one trillion, three hundred ten billion, twenty million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2716 3104 5419 5432 5563 6208 10838 10864 11126 21676 21728 22252 37933 38941 43352 43456 44504 75866 77882 86704 89008 151732 155764 173408 178016 303464 311528 346816 356032 525643 539611 606928 623056 1051286 1079222 1213856 1246112 2102572 2158444 2427712 2492224 3679501 3777277 4205144 4316888 7359002 7554554 8410288 8633776 14718004 15109108 16820576 17267552 29436008 30145897 30218216 33641152 34535104 58872016 60291794 60436432 117744032 120583588 120872864 211021279 235488064 241167176 241745728 422042558 482334352 844085116 964668704 1688170232 1929337408 2924152009 3376340464 5848304018 6752680928 11696608036 13505361856 20469064063 23393216072 40938128126 46786432144 81876256252 93572864288 163752512504 187145728576 327505025008 655010050016 1310020100032