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102000311311310 = 2517231391381135899
BaseRepresentation
bin10111001100010011001100…
…010100101001101111001110
3111101011010122001221122002022
4113030103030110221233032
5101332133114143430220
61000534143544130142
730325164541560416
oct2714231424515716
9441133561848068
10102000311311310
112a5560a8657835
12b534415a66952
1344bb785038799
141b28bacb7b646
15bbd3dec92925
hex5cc4cc529bce

102000311311310 has 128 divisors (see below), whose sum is σ = 204461615232000. Its totient is φ = 36439624488960.

The previous prime is 102000311311267. The next prime is 102000311311321. The reversal of 102000311311310 is 13113113000201.

It is a super-2 number, since 2×1020003113113102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750491741 + ... + 750627639.

It is an arithmetic number, because the mean of its divisors is an integer number (1597356369000).

Almost surely, 2102000311311310 is an apocalyptic number.

102000311311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102000311311310 is an abundant number, since it is smaller than the sum of its proper divisors (102461303920690).

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

102000311311310 is a wasteful number, since it uses less digits than its factorization.

102000311311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137466.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 102000311311310 its reverse (13113113000201), we get a palindrome (115113424311511).

The spelling of 102000311311310 in words is "one hundred two trillion, three hundred eleven million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 10 17 23 34 46 85 115 139 170 230 278 391 695 782 1381 1390 1955 2363 2762 3197 3910 4726 6394 6905 11815 13810 15985 23477 23630 31763 31970 46954 54349 63526 108698 117385 135899 158815 191959 234770 271745 271798 317630 383918 539971 543490 679495 959795 1079942 1358990 1919590 2310283 2699855 3125677 3263303 4415057 4620566 5399710 6251354 6526606 8830114 11551415 15628385 16316515 18889961 22075285 23102830 31256770 32633030 37779922 44150570 53136509 75055969 94449805 106273018 150111938 187676519 188899610 265682545 321129337 375279845 375353038 434469103 531365090 642258674 750559690 868938206 938382595 1605646685 1876765190 2172345515 3190500823 3211293370 4316559937 4344691030 6381001646 7385974751 8633119874 14771949502 15952504115 21582799685 26087036141 31905008230 36929873755 43165599370 52174072282 73381518929 73859747510 130435180705 146763037858 260870361410 366907594645 443479614397 600001831243 733815189290 886959228794 1200003662486 2217398071985 3000009156215 4434796143970 6000018312430 10200031131131 20400062262262 51000155655655 102000311311310