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132114102621030 = 23352937456021893
BaseRepresentation
bin11110000010100000110110…
…001010000001001101100110
3122022202222120222001212011000
4132002200312022001031212
5114304024140232333110
61144552214134054130
736553633423403325
oct3602406612011546
9568688528055130
10132114102621030
11391063047a4012
12129987217aa346
1358943ca28865a
14248a4dca5a0bc
1510418ce9151c0
hex782836281366

132114102621030 has 128 divisors (see below), whose sum is σ = 374302770595200. Its totient is φ = 33096244833792.

The previous prime is 132114102621019. The next prime is 132114102621047. The reversal of 132114102621030 is 30126201411231.

132114102621030 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 4 + 1 + 0 + 2 + 621 + 0 + 30 = 666.

It is a super-2 number, since 2×1321141026210302 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132114102620985 and 132114102621003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227721237 + ... + 228300656.

It is an arithmetic number, because the mean of its divisors is an integer number (2924240395275).

Almost surely, 2132114102621030 is an apocalyptic number.

132114102621030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132114102621030 is an abundant number, since it is smaller than the sum of its proper divisors (242188667974170).

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

132114102621030 is a wasteful number, since it uses less digits than its factorization.

132114102621030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456021975 (or 456021969 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 132114102621030 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred two million, six hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 37 45 54 58 74 87 90 111 135 145 174 185 222 261 270 290 333 370 435 522 555 666 783 870 999 1073 1110 1305 1566 1665 1998 2146 2610 3219 3330 3915 4995 5365 6438 7830 9657 9990 10730 16095 19314 28971 32190 48285 57942 96570 144855 289710 456021893 912043786 1368065679 2280109465 2736131358 4104197037 4560218930 6840328395 8208394074 12312591111 13224634897 13680656790 16872810041 20520985185 24625182222 26449269794 33745620082 39673904691 41041970370 50618430123 61562955555 66123174485 79347809382 84364050205 101236860246 119021714073 123125911110 132246348970 151855290369 168728100410 198369523455 238043428146 253092150615 303710580738 357065142219 396739046910 455565871107 489311491189 506184301230 595108570365 714130284438 759276451845 911131742214 978622982378 1190217140730 1467934473567 1518552903690 1785325711095 2277829355535 2446557455945 2935868947134 3570651422190 4403803420701 4555658711070 4893114911890 7339672367835 8807606841402 13211410262103 14679344735670 22019017103505 26422820524206 44038034207010 66057051310515 132114102621030