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102010031310 = 235112101278237
BaseRepresentation
bin101111100000001000…
…1011000110011001110
3100202022020212111211210
41133000101120303032
53132404032000220
6114510204555250
710240621650045
oct1370021306316
9322266774753
10102010031310
113a298004400
121792ab52b26
139809089995
144d19dab55c
1529c092e6e0
hex17c0458cce

102010031310 has 96 divisors (see below), whose sum is σ = 271769522976. Its totient is φ = 24484768000.

The previous prime is 102010031251. The next prime is 102010031329. The reversal of 102010031310 is 13130010201.

It is a super-2 number, since 2×1020100313102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 227512 + ... + 505748.

It is an arithmetic number, because the mean of its divisors is an integer number (2830932531).

Almost surely, 2102010031310 is an apocalyptic number.

102010031310 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 102010031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135884761488).

102010031310 is an abundant number, since it is smaller than the sum of its proper divisors (169759491666).

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

102010031310 is a wasteful number, since it uses less digits than its factorization.

102010031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278370 (or 278359 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102010031310 its reverse (13130010201), we get a palindrome (115140041511).

The spelling of 102010031310 in words is "one hundred two billion, ten million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 303 330 363 505 605 606 726 1010 1111 1210 1515 1815 2222 3030 3333 3630 5555 6666 11110 12221 16665 24442 33330 36663 61105 73326 122210 183315 278237 366630 556474 834711 1391185 1669422 2782370 3060607 4173555 6121214 8347110 9181821 15303035 18363642 28101937 30606070 33666677 45909105 56203874 67333354 84305811 91818210 101000031 140509685 168333385 168611622 202000062 281019370 309121307 336666770 421529055 505000155 618242614 843058110 927363921 1010000310 1545606535 1854727842 3091213070 3400334377 4636819605 6800668754 9273639210 10201003131 17001671885 20402006262 34003343770 51005015655 102010031310