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1010135403450 = 23452376740977
BaseRepresentation
bin11101011001100001100…
…00110000101110111010
310120120100001222021020000
432230300300300232322
5113022224130402300
62052014431213430
7132660045155145
oct16546060605672
93516301867200
101010135403450
1135a43a112588
12143930377276
13743420440a4
1436c6857505c
151b42146dc00
hexeb30c30bba

1010135403450 has 120 divisors (see below), whose sum is σ = 2882536566492. Its totient is φ = 262089146880.

The previous prime is 1010135403379. The next prime is 1010135403461. The reversal of 1010135403450 is 543045310101.

It is a happy number.

1010135403450 is a `hidden beast` number, since 10 + 101 + 3 + 540 + 3 + 4 + 5 + 0 = 666.

1010135403450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 266234328441 + 743901075009 = 515979^2 + 862497^2 .

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 59 ways as a sum of consecutive naturals, for example, 3220639 + ... + 3520338.

Almost surely, 21010135403450 is an apocalyptic number.

1010135403450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010135403450 is an abundant number, since it is smaller than the sum of its proper divisors (1872401163042).

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

1010135403450 is a wasteful number, since it uses less digits than its factorization.

1010135403450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741038 (or 6741024 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1010135403450 in words is "one trillion, ten billion, one hundred thirty-five million, four hundred three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 81 90 111 135 150 162 185 222 225 270 333 370 405 450 555 666 675 810 925 999 1110 1350 1665 1850 1998 2025 2775 2997 3330 4050 4995 5550 5994 8325 9990 14985 16650 24975 29970 49950 74925 149850 6740977 13481954 20222931 33704885 40445862 60668793 67409770 101114655 121337586 168524425 182006379 202229310 249416149 303343965 337048850 364012758 498832298 505573275 546019137 606687930 748248447 910031895 1011146550 1092038274 1247080745 1496496894 1516719825 1820063790 2244745341 2494161490 2730095685 3033439650 3741242235 4489490682 4550159475 5460191370 6235403725 6734236023 7482484470 9100318950 11223726705 12470807450 13468472046 13650478425 18706211175 20202708069 22447453410 27300956850 33671180115 37412422350 40405416138 56118633525 67342360230 101013540345 112237267050 168355900575 202027080690 336711801150 505067701725 1010135403450