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102231323202204 = 223271034905780287
BaseRepresentation
bin10111001111101010010101…
…101101000101001010011100
3111101222012220200120121022100
4113033222111231011022130
5101344424222214432304
61001232231014445100
730350653330340460
oct2717522555051234
9441865820517270
10102231323202204
112a635073867629
12b571147363790
1345074ac261351
141b3604582c4a0
15bc4410ac0439
hex5cfa95b4529c

102231323202204 has 144 divisors (see below), whose sum is σ = 298212056117248. Its totient is φ = 28924417557504.

The previous prime is 102231323202149. The next prime is 102231323202227. The reversal of 102231323202204 is 402202323132201.

102231323202204 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 132 + 320 + 2 + 204 = 666.

It is a super-3 number, since 3×1022313232022043 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273283349 + ... + 1273363635.

Almost surely, 2102231323202204 is an apocalyptic number.

102231323202204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102231323202204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149106028058624).

102231323202204 is an abundant number, since it is smaller than the sum of its proper divisors (195980732915044).

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

102231323202204 is a wasteful number, since it uses less digits than its factorization.

102231323202204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129464 (or 129459 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102231323202204 its reverse (402202323132201), we get a palindrome (504433646334405).

The spelling of 102231323202204 in words is "one hundred two trillion, two hundred thirty-one billion, three hundred twenty-three million, two hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2163 2884 3708 4326 6489 8652 12978 25956 49057 80287 98114 147171 160574 196228 240861 294342 321148 343399 441513 481722 562009 588684 686798 722583 883026 963444 1030197 1124018 1373596 1445166 1686027 1766052 2060394 2248036 2890332 3090591 3372054 4120788 5052871 5058081 6181182 6744108 8269561 10105742 10116162 12362364 15158613 16539122 20211484 20232324 24808683 30317226 33078244 35370097 45475839 49617366 57886927 60634452 70740194 74426049 90951678 99234732 106110291 115773854 141480388 148852098 173660781 181903356 212220582 231547708 297704196 318330873 347321562 424441164 520982343 636661746 694643124 1041964686 1273323492 2083929372 3938639359 7877278718 11815918077 15754557436 23631836154 27570475513 35447754231 47263672308 55140951026 70895508462 82711426539 110281902052 141791016924 165422853078 248134279617 330845706156 405679853977 496268559234 811359707954 992537118468 1217039561931 1622719415908 2434079123862 2839758977839 3651118685793 4868158247724 5679517955678 7302237371586 8519276933517 11359035911356 14604474743172 17038553867034 25557830800551 34077107734068 51115661601102 102231323202204