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102131342412240 = 2435617198256121
BaseRepresentation
bin10111001110001101001110…
…011000101000100111010000
3111101121122211212002020021110
4113032031032120220213100
5101341304442124142430
61001114254015253320
730340513605551061
oct2716151630504720
9441548755066243
10102131342412240
112a5a6728262299
12b5558a3b1a240
1344cac377195bb
141b3127d16c568
15bc1a0d3cc7b0
hex5ce34e6289d0

102131342412240 has 160 divisors (see below), whose sum is σ = 326329804484352. Its totient is φ = 26411245056000.

The previous prime is 102131342412223. The next prime is 102131342412251. The reversal of 102131342412240 is 42214243131201.

It is a happy number.

It is a super-2 number, since 2×1021313424122402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102131342412198 and 102131342412207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48088621 + ... + 50167500.

Almost surely, 2102131342412240 is an apocalyptic number.

102131342412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131342412240 is an abundant number, since it is smaller than the sum of its proper divisors (224198462072112).

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

102131342412240 is a wasteful number, since it uses less digits than its factorization.

102131342412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98256269 (or 98256263 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 102131342412240 its reverse (42214243131201), we get a palindrome (144345585543441).

The spelling of 102131342412240 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred forty-two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 71 80 120 122 142 183 213 240 244 284 305 355 366 426 488 568 610 710 732 852 915 976 1065 1136 1220 1420 1464 1704 1830 2130 2440 2840 2928 3408 3660 4260 4331 4880 5680 7320 8520 8662 12993 14640 17040 17324 21655 25986 34648 43310 51972 64965 69296 86620 103944 129930 173240 207888 259860 346480 519720 1039440 98256121 196512242 294768363 393024484 491280605 589536726 786048968 982561210 1179073452 1473841815 1572097936 1965122420 2358146904 2947683630 3930244840 4716293808 5895367260 5993623381 6976184591 7860489680 11790734520 11987246762 13952369182 17980870143 20928553773 23581469040 23974493524 27904738364 29968116905 34880922955 35961740286 41857107546 47948987048 55809476728 59936233810 69761845910 71923480572 83714215092 89904350715 95897974096 104642768865 111618953456 119872467620 139523691820 143846961144 167428430184 179808701430 209285537730 239744935240 279047383640 287693922288 334856860368 359617402860 418571075460 425547260051 479489870480 558094767280 719234805720 837142150920 851094520102 1276641780153 1438469611440 1674284301840 1702189040204 2127736300255 2553283560306 3404378080408 4255472600510 5106567120612 6383208900765 6808756160816 8510945201020 10213134241224 12766417801530 17021890402040 20426268482448 25532835603060 34043780804080 51065671206120 102131342412240