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1003150204240 = 245101539323021
BaseRepresentation
bin11101001100100000110…
…10010101110101010000
310112220022021002101022011
432212100122111311100
5112413422423013430
62044501342152304
7132321666021652
oct16462032256520
93486267071264
101003150204240
11357485157a78
12142500b82694
137379ab20c12
14367a498c6d2
151b1630ca22a
hexe990695d50

1003150204240 has 80 divisors (see below), whose sum is σ = 2355955633296. Its totient is φ = 397196288000.

The previous prime is 1003150204223. The next prime is 1003150204241. The reversal of 1003150204240 is 424020513001.

It can be written as a sum of positive squares in 8 ways, for example, as 85186929424 + 917963274816 = 291868^2 + 958104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003150204241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43563930 + ... + 43586950.

Almost surely, 21003150204240 is an apocalyptic number.

1003150204240 is a gapful number since it is divisible by the number (10) 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 1003150204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177977816648).

1003150204240 is an abundant number, since it is smaller than the sum of its proper divisors (1352805429056).

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

1003150204240 is a wasteful number, since it uses less digits than its factorization.

1003150204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28528 (or 28522 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1003150204240 its reverse (424020513001), we get a palindrome (1427170717241).

The spelling of 1003150204240 in words is "one trillion, three billion, one hundred fifty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 5393 8080 10786 21572 23021 26965 43144 46042 53930 86288 92084 107860 115105 184168 215720 230210 368336 431440 460420 544693 920840 1089386 1841680 2178772 2325121 2723465 4357544 4650242 5446930 8715088 9300484 10893860 11625605 18600968 21787720 23251210 37201936 43575440 46502420 93004840 124152253 186009680 248304506 496609012 620761265 993218024 1241522530 1986436048 2483045060 4966090120 9932180240 12539377553 25078755106 50157510212 62696887765 100315020424 125393775530 200630040848 250787551060 501575102120 1003150204240