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1313454554010 = 2325371013389369
BaseRepresentation
bin10011000111001111111…
…111011111101110011010
311122120020220110121120100
4103013033333133232122
5133004423331212020
62443220453240230
7163615425333354
oct23071777375632
94576226417510
101313454554010
1146703a943815
12192681333076
1396b206cb8c1
144780043a0d4
1524275214a90
hex131cffdfb9a

1313454554010 has 96 divisors (see below), whose sum is σ = 3510749932560. Its totient is φ = 340450919424.

The previous prime is 1313454553981. The next prime is 1313454554141. The reversal of 1313454554010 is 104554543131.

1313454554010 is a `hidden beast` number, since 1 + 31 + 3 + 45 + 45 + 540 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 491427638361 + 822026915649 = 701019^2 + 906657^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3178606 + ... + 3567974.

Almost surely, 21313454554010 is an apocalyptic number.

1313454554010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313454554010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755374966280).

1313454554010 is an abundant number, since it is smaller than the sum of its proper divisors (2197295378550).

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

1313454554010 is a wasteful number, since it uses less digits than its factorization.

1313454554010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390432 (or 390429 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1313454554010 in words is "one trillion, three hundred thirteen billion, four hundred fifty-four million, five hundred fifty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1013 1110 1665 2026 3039 3330 5065 6078 9117 10130 15195 18234 30390 37481 45585 74962 91170 112443 187405 224886 337329 374810 389369 562215 674658 778738 1124430 1168107 1686645 1946845 2336214 3373290 3504321 3893690 5840535 7008642 11681070 14406653 17521605 28813306 35043210 43219959 72033265 86439918 129659877 144066530 216099795 259319754 394430797 432199590 648299385 788861594 1183292391 1296598770 1972153985 2366584782 3549877173 3944307970 5916461955 7099754346 11832923910 14593939489 17749385865 29187878978 35498771730 43781818467 72969697445 87563636934 131345455401 145939394890 218909092335 262690910802 437818184670 656727277005 1313454554010