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1313230220010 = 2325292831777927
BaseRepresentation
bin10011000111000010100…
…111101110101011101010
311122112200021100021011200
4103013002213232223222
5133003443414020020
62443142321105030
7163610032456362
oct23070247565352
94575607307150
101313230220010
11466a35250315
1219261a188176
1396ab60a45a7
14477bc7219a2
15242606a0590
hex131c29eeaea

1313230220010 has 96 divisors (see below), whose sum is σ = 3544619495040. Its totient is φ = 336924088704.

The previous prime is 1313230220009. The next prime is 1313230220011. The reversal of 1313230220010 is 100220323131.

1313230220010 is a `hidden beast` number, since 131 + 32 + 302 + 200 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1313230220009) and next prime (1313230220011).

It is a super-2 number, since 2×13132302200102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1313230220011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150334 + ... + 1627593.

It is an arithmetic number, because the mean of its divisors is an integer number (36923119740).

Almost surely, 21313230220010 is an apocalyptic number.

1313230220010 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 1313230220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772309747520).

1313230220010 is an abundant number, since it is smaller than the sum of its proper divisors (2231389275030).

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

1313230220010 is a wasteful number, since it uses less digits than its factorization.

1313230220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778252 (or 1778249 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313230220010 its reverse (100220323131), we get a palindrome (1413450543141).

The spelling of 1313230220010 in words is "one trillion, three hundred thirteen billion, two hundred thirty million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 283 290 435 522 566 849 870 1305 1415 1698 2547 2610 2830 4245 5094 8207 8490 12735 16414 24621 25470 41035 49242 73863 82070 123105 147726 246210 369315 738630 1777927 3555854 5333781 8889635 10667562 16001343 17779270 26668905 32002686 51559883 53337810 80006715 103119766 154679649 160013430 257799415 309359298 464038947 503153341 515598830 773398245 928077894 1006306682 1509460023 1546796490 2320194735 2515766705 3018920046 4528380069 4640389470 5031533410 7547300115 9056760138 14591446889 15094600230 22641900345 29182893778 43774340667 45283800690 72957234445 87548681334 131323022001 145914468890 218871703335 262646044002 437743406670 656615110005 1313230220010