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1310233210330 = 2511311075696311
BaseRepresentation
bin10011000100001111111…
…111000010110111011010
311122020221101221101210011
4103010033333002313122
5132431324200212310
62441525100512134
7163442541350002
oct23041777026732
94566841841704
101310233210330
11465737542610
12191b2254b64a
13967291c9195
14475b6697002
15241374ec78a
hex1310ffc2dda

1310233210330 has 128 divisors (see below), whose sum is σ = 2685773168640. Its totient is φ = 455894976000.

The previous prime is 1310233210301. The next prime is 1310233210333. The reversal of 1310233210330 is 330123320131.

It is a super-2 number, since 2×13102332103302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1310233210333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207607875 + ... + 207614185.

It is an arithmetic number, because the mean of its divisors is an integer number (20982602880).

Almost surely, 21310233210330 is an apocalyptic number.

1310233210330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310233210330 is an abundant number, since it is smaller than the sum of its proper divisors (1375539958310).

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

1310233210330 is a wasteful number, since it uses less digits than its factorization.

1310233210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1310233210330 its reverse (330123320131), we get a palindrome (1640356530461).

The spelling of 1310233210330 in words is "one trillion, three hundred ten billion, two hundred thirty-three million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 107 110 155 214 310 341 535 569 682 1070 1138 1177 1705 2354 2845 3317 3410 5690 5885 6259 6311 6634 11770 12518 12622 16585 17639 31295 31555 33170 35278 36487 60883 62590 63110 69421 72974 88195 121766 138842 176390 182435 194029 195641 304415 347105 364870 388058 391282 608830 669713 675277 694210 970145 978205 1339426 1350554 1887373 1940290 1956410 2152051 3348565 3376385 3590959 3774746 4304102 6697130 6752770 7181918 7428047 9436865 10760255 14856094 17954795 18873730 20761103 20933587 21520510 35909590 37140235 39500549 41522206 41867174 74280470 79001098 103805515 104667935 111319729 197502745 207611030 209335870 222639458 230269457 384232613 395005490 460538914 556598645 768465226 1113197290 1151347285 1224517019 1921163065 2302694570 2449034038 3842326130 4226558743 6122585095 8453117486 11911211003 12245170190 21132793715 23822422006 42265587430 59556055015 119112110030 131023321033 262046642066 655116605165 1310233210330