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3102135040 = 2855941077
BaseRepresentation
bin1011100011100110…
…1101001100000000
322000012012210021101
42320321231030000
522323121310130
61231453304144
7136605466324
oct27071551400
98005183241
103102135040
11135208aa74
12726a95054
133a58c4a84
14215dd1984
1513251b1ca
hexb8e6d300

3102135040 has 72 divisors (see below), whose sum is σ = 7556708880. Its totient is φ = 1219792896.

The previous prime is 3102135037. The next prime is 3102135077. The reversal of 3102135040 is 405312013.

It is a junction number, because it is equal to n+sod(n) for n = 3102134999 and 3102135017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54982 + ... + 96058.

It is an arithmetic number, because the mean of its divisors is an integer number (104954290).

Almost surely, 23102135040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778354440).

3102135040 is an abundant number, since it is smaller than the sum of its proper divisors (4454573840).

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

3102135040 is an equidigital number, since it uses as much as digits as its factorization.

3102135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41157 (or 41143 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3102135040 is about 55696.8135533802. The cubic root of 3102135040 is about 1458.4344010789.

Adding to 3102135040 its reverse (405312013), we get a palindrome (3507447053).

The spelling of 3102135040 in words is "three billion, one hundred two million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 472 590 640 944 1180 1280 1888 2360 3776 4720 7552 9440 15104 18880 37760 41077 75520 82154 164308 205385 328616 410770 657232 821540 1314464 1643080 2423543 2628928 3286160 4847086 5257856 6572320 9694172 10515712 12117715 13144640 19388344 24235430 26289280 38776688 48470860 52578560 77553376 96941720 155106752 193883440 310213504 387766880 620427008 775533760 1551067520 3102135040