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102322141202040 = 233510491676348491
BaseRepresentation
bin10111010000111110111010…
…111000010000011001111000
3111102021220022221200000020220
4113100332322320100121320
5101402421221121431130
61001342050455420040
730360350021526264
oct2720767270203170
9442256287600226
10102322141202040
112a66a6381a3041
12b586872084620
134512c236993a6
141b3a5bd21d0a4
15bc6978b7c410
hex5d0fbae10678

102322141202040 has 128 divisors (see below), whose sum is σ = 307283717664000. Its totient is φ = 27257704647680.

The previous prime is 102322141201997. The next prime is 102322141202053. The reversal of 102322141202040 is 40202141223201.

102322141202040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1023221412020402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102322141202040.

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, 2110102195 + ... + 2110150685.

It is an arithmetic number, because the mean of its divisors is an integer number (2400654044250).

Almost surely, 2102322141202040 is an apocalyptic number.

102322141202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102322141202040 is an abundant number, since it is smaller than the sum of its proper divisors (204961576461960).

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

102322141202040 is a wasteful number, since it uses less digits than its factorization.

102322141202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66317 (or 66313 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102322141202040 its reverse (40202141223201), we get a palindrome (142524282425241).

The spelling of 102322141202040 in words is "one hundred two trillion, three hundred twenty-two billion, one hundred forty-one million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1049 2098 3147 4196 5245 6294 8392 10490 12588 15735 16763 20980 25176 31470 33526 41960 48491 50289 62940 67052 83815 96982 100578 125880 134104 145473 167630 193964 201156 242455 251445 290946 335260 387928 402312 484910 502890 581892 670520 727365 969820 1005780 1163784 1454730 1939640 2011560 2909460 5818920 17584387 35168774 50867059 52753161 70337548 87921935 101734118 105506322 140675096 152601177 175843870 203468236 211012644 254335295 263765805 305202354 351687740 406936472 422025288 508670590 527531610 610404708 703375480 763005885 812854633 1017341180 1055063220 1220809416 1526011770 1625709266 2034682360 2110126440 2438563899 3052023540 3251418532 4064273165 4877127798 6104047080 6502837064 8128546330 9754255596 12192819495 16257092660 19508511192 24385638990 32514185320 48771277980 97542555960 852684510017 1705369020034 2558053530051 3410738040068 4263422550085 5116107060102 6821476080136 8526845100170 10232214120204 12790267650255 17053690200340 20464428240408 25580535300510 34107380400680 51161070601020 102322141202040