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1002340152020 = 225533533267649
BaseRepresentation
bin11101001011000000010…
…00001111001011010100
310112211012210211110120002
432211200020033023110
5112410243034331040
62044245124030432
7132262631500454
oct16454010171324
93484183743502
101002340152020
113570a9980829
12142315832418
137369c05b78c
1436729167d64
151b116e19a15
hexe96020f2d4

1002340152020 has 48 divisors (see below), whose sum is σ = 2145244726800. Its totient is φ = 393258418176.

The previous prime is 1002340152001. The next prime is 1002340152029. The reversal of 1002340152020 is 202510432001.

It can be written as a sum of positive squares in 8 ways, for example, as 50353564816 + 951986587204 = 224396^2 + 975698^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1002340151983 and 1002340152001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002340152029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3611156 + ... + 3878804.

It is an arithmetic number, because the mean of its divisors is an integer number (44692598475).

Almost surely, 21002340152020 is an apocalyptic number.

1002340152020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002340152020 is an abundant number, since it is smaller than the sum of its proper divisors (1142904574780).

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

1002340152020 is a wasteful number, since it uses less digits than its factorization.

1002340152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271244 (or 271242 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1002340152020 its reverse (202510432001), we get a palindrome (1204850584021).

The spelling of 1002340152020 in words is "one trillion, two billion, three hundred forty million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 3533 7066 14132 17665 35330 70660 187249 267649 374498 535298 748996 936245 1070596 1338245 1872490 2676490 3744980 5352980 14185397 28370794 56741588 70926985 141853970 283707940 945603917 1891207834 3782415668 4728019585 9456039170 18912078340 50117007601 100234015202 200468030404 250585038005 501170076010 1002340152020