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1311312023130 = 2351929372144033
BaseRepresentation
bin10011000101010000010…
…010011000111001011010
311122100201120220202201210
4103011100102120321122
5132441031334220010
62442224115323550
7163511351200554
oct23052022307132
94570646822653
101311312023130
114661404a663a
121921838b05b6
139686b86c255
1447679a7c4d4
152419c09ab20
hex13150498e5a

1311312023130 has 128 divisors (see below), whose sum is σ = 3519646214400. Its totient is φ = 311210532864.

The previous prime is 1311312023123. The next prime is 1311312023183. The reversal of 1311312023130 is 313202131131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311312023097 and 1311312023106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460407 + ... + 1683626.

It is an arithmetic number, because the mean of its divisors is an integer number (27497236050).

Almost surely, 21311312023130 is an apocalyptic number.

1311312023130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311312023130 is an abundant number, since it is smaller than the sum of its proper divisors (2208334191270).

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

1311312023130 is a wasteful number, since it uses less digits than its factorization.

1311312023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144128.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1311312023130 its reverse (313202131131), we get a palindrome (1624514154261).

The spelling of 1311312023130 in words is "one trillion, three hundred eleven billion, three hundred twelve million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 37 38 57 58 74 87 95 111 114 145 174 185 190 222 285 290 370 435 551 555 570 703 870 1073 1102 1110 1406 1653 2109 2146 2755 3219 3306 3515 4218 5365 5510 6438 7030 8265 10545 10730 16095 16530 20387 21090 32190 40774 61161 101935 122322 203870 305805 611610 2144033 4288066 6432099 10720165 12864198 21440330 32160495 40736627 62176957 64320990 79329221 81473254 122209881 124353914 158658442 186530871 203683135 237987663 244419762 310884785 373061742 396646105 407366270 475975326 611049405 621769570 793292210 932654355 1181362183 1189938315 1222098810 1507255199 1865308710 2300547409 2362724366 2379876630 3014510398 3544086549 4521765597 4601094818 5906810915 6901642227 7088173098 7536275995 9043531194 11502737045 11813621830 13803284454 15072551990 17720432745 22608827985 23005474090 34508211135 35440865490 43710400771 45217655970 69016422270 87420801542 131131202313 218552003855 262262404626 437104007710 655656011565 1311312023130