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1002251330040 = 233531726347301
BaseRepresentation
bin11101001010110101101…
…01011010000111111000
310112210222121200211201010
432211122311122013320
5112410102320030130
62044232232153520
7132260502512322
oct16453265320770
93483877624633
101002251330040
11357063824534
121422abb388a0
137368682caac
143671b446612
151b10e2220b0
hexe95ad5a1f8

1002251330040 has 64 divisors (see below), whose sum is σ = 3016239132960. Its totient is φ = 266423897600.

The previous prime is 1002251330029. The next prime is 1002251330071. The reversal of 1002251330040 is 400331522001.

It is a junction number, because it is equal to n+sod(n) for n = 1002251329989 and 1002251330016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13135611 + ... + 13211690.

Almost surely, 21002251330040 is an apocalyptic number.

1002251330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002251330040 is an abundant number, since it is smaller than the sum of its proper divisors (2013987802920).

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

1002251330040 is a wasteful number, since it uses less digits than its factorization.

1002251330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26347632 (or 26347628 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1002251330040 its reverse (400331522001), we get a palindrome (1402582852041).

The spelling of 1002251330040 in words is "one trillion, two billion, two hundred fifty-one million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1268 1585 1902 2536 3170 3804 4755 6340 7608 9510 12680 19020 38040 26347301 52694602 79041903 105389204 131736505 158083806 210778408 263473010 316167612 395209515 526946020 632335224 790419030 1053892040 1580838060 3161676120 8352094417 16704188834 25056283251 33408377668 41760472085 50112566502 66816755336 83520944170 100225133004 125281416255 167041888340 200450266008 250562832510 334083776680 501125665020 1002251330040