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102441231053010 = 2365138110175449
BaseRepresentation
bin10111010010101101110101…
…001011111111000011010010
3111102201021201112020021000000
4113102231311023333003102
5101411344120122144020
61001512504000310430
730402064126543053
oct2722556513770322
9442637645207000
10102441231053010
112a70609a323783
12b5a5969012416
134521222145725
141b4227972672a
15bc9ae8c9e090
hex5d2b752ff0d2

102441231053010 has 112 divisors (see below), whose sum is σ = 276665072160600. Its totient is φ = 27297877858560.

The previous prime is 102441231052981. The next prime is 102441231053039. The reversal of 102441231053010 is 10350132144201.

102441231053010 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 123 + 1 + 0 + 530 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102441231052981) and next prime (102441231053039).

It can be written as a sum of positive squares in 4 ways, for example, as 94367682775809 + 8073548277201 = 9714303^2 + 2841399^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4979766 + ... + 15155214.

Almost surely, 2102441231053010 is an apocalyptic number.

102441231053010 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 102441231053010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138332536080300).

102441231053010 is an abundant number, since it is smaller than the sum of its proper divisors (174223841107590).

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

102441231053010 is a wasteful number, since it uses less digits than its factorization.

102441231053010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176855 (or 10176840 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 102441231053010 its reverse (10350132144201), we get a palindrome (112791363197211).

The spelling of 102441231053010 in words is "one hundred two trillion, four hundred forty-one billion, two hundred thirty-one million, fifty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1381 1458 2430 2762 3645 4143 6905 7290 8286 12429 13810 20715 24858 37287 41430 62145 74574 111861 124290 186435 223722 335583 372870 559305 671166 1006749 1118610 1677915 2013498 3355830 5033745 10067490 10175449 20350898 30526347 50877245 61052694 91579041 101754490 152631735 183158082 274737123 305263470 457895205 549474246 824211369 915790410 1373685615 1648422738 2472634107 2747371230 4121056845 4945268214 7417902321 8242113690 12363170535 14052295069 14835804642 24726341070 28104590138 37089511605 42156885207 70261475345 74179023210 84313770414 126470655621 140522950690 210784426035 252941311242 379411966863 421568852070 632353278105 758823933726 1138235900589 1264706556210 1897059834315 2276471801178 3414707701767 3794119668630 5691179502945 6829415403534 10244123105301 11382359005890 17073538508835 20488246210602 34147077017670 51220615526505 102441231053010