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102213113312310 = 235711133403700077
BaseRepresentation
bin10111001111011001011000…
…010011110111010000110110
3111101220110220121110100110220
4113033121120103313100312
5101344124424001443220
61001220020033355210
730346440143000460
oct2717313023672066
9441813817410426
10102213113312310
112a628379857850
12b569704a08b06
1345058696c3080
141b351d91a7130
15bc3be70a7540
hex5cf6584f7436

102213113312310 has 128 divisors (see below), whose sum is σ = 329369249147904. Its totient is φ = 19605312437760.

The previous prime is 102213113312159. The next prime is 102213113312327. The reversal of 102213113312310 is 13213311312201.

It is a super-2 number, since 2×1022131133123102 (a number of 29 digits) contains 22 as substring.

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, 1701820009 + ... + 1701880068.

It is an arithmetic number, because the mean of its divisors is an integer number (2573197258968).

Almost surely, 2102213113312310 is an apocalyptic number.

102213113312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213113312310 is an abundant number, since it is smaller than the sum of its proper divisors (227156135835594).

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

102213113312310 is a wasteful number, since it uses less digits than its factorization.

102213113312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403700118.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102213113312310 its reverse (13213311312201), we get a palindrome (115426424624511).

The spelling of 102213113312310 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 3403700077 6807400154 10211100231 17018500385 20422200462 23825900539 34037000770 37440700847 44248101001 47651801078 51055501155 71477701617 74881401694 88496202002 102111002310 112322102541 119129502695 132744303003 142955403234 187203504235 221240505005 224644205082 238259005390 262084905929 265488606006 309736707007 357388508085 374407008470 442481010010 486729111011 524169811858 561610512705 619473414014 663721515015 714777016170 786254717787 929210121021 973458222022 1123221025410 1310424529645 1327443030030 1460187333033 1548683535035 1572509435574 1858420242042 2433645555055 2620849059290 2920374666066 3097367070070 3407103777077 3931273588935 4646050605105 4867291110110 6814207554154 7300936665165 7862547177870 9292101210210 10221311331231 14601873330330 17035518885385 20442622662462 34071037770770 51106556656155 102213113312310