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1362007020132 = 22321159111752189
BaseRepresentation
bin10011110100011101111…
…100011101001001100100
311211012120121111110000100
4103310131330131021210
5134303342244121012
62521410345144100
7200254542436623
oct23643574351144
94735517443010
101362007020132
11485695501180
1219bb7148b030
139b58a5b90b5
1449cc88036ba
15256679758dc
hex13d1df1d264

1362007020132 has 144 divisors (see below), whose sum is σ = 3822988478400. Its totient is φ = 405362983680.

The previous prime is 1362007020131. The next prime is 1362007020181. The reversal of 1362007020132 is 2310207002631.

1362007020132 is a `hidden beast` number, since 1 + 3 + 620 + 0 + 7 + 0 + 2 + 0 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1362007020096 and 1362007020105.

It is not an unprimeable number, because it can be changed into a prime (1362007020131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26071494 + ... + 26123682.

It is an arithmetic number, because the mean of its divisors is an integer number (26548531100).

Almost surely, 21362007020132 is an apocalyptic number.

1362007020132 is a gapful number since it is divisible by the number (12) 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 1362007020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911494239200).

1362007020132 is an abundant number, since it is smaller than the sum of its proper divisors (2460981458268).

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

1362007020132 is a wasteful number, since it uses less digits than its factorization.

1362007020132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53386 (or 53381 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 1362007020132 in words is "one trillion, three hundred sixty-two billion, seven million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1117 1298 1947 2124 2234 2596 3351 3894 4468 5841 6702 7788 10053 11682 12287 13404 20106 23364 24574 36861 40212 49148 52189 65903 73722 104378 110583 131806 147444 156567 197709 208756 221166 263612 313134 395418 442332 469701 574079 593127 626268 724933 790836 939402 1148158 1186254 1449866 1722237 1878804 2174799 2296316 2372508 2899732 3079151 3444474 4349598 5166711 6158302 6524397 6888948 8699196 9237453 10333422 12316604 13048794 18474906 20666844 26097588 27712359 33870661 36949812 55424718 58295113 67741322 101611983 110849436 116590226 135482644 174885339 203223966 233180452 304835949 349770678 406447932 524656017 609671898 641246243 699541356 1049312034 1219343796 1282492486 1923738729 2098624068 2564984972 3439411667 3847477458 5771216187 6878823334 7694954916 10318235001 11542432374 13757646668 20636470002 23084864748 30954705003 37833528337 41272940004 61909410006 75667056674 113500585011 123818820012 151334113348 227001170022 340501755033 454002340044 681003510066 1362007020132