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1015221012 = 2231323972917
BaseRepresentation
bin111100100000110…
…000101100010100
32121202022120102020
4330200300230110
54034344033022
6244423413140
734105144011
oct7440605424
92552276366
101015221012
1148107a633
12243bb41b0
131324392c0
1498b90708
155e1db35c
hex3c830b14

1015221012 has 96 divisors (see below), whose sum is σ = 2690349312. Its totient is φ = 295612416.

The previous prime is 1015221007. The next prime is 1015221017. The reversal of 1015221012 is 2101225101.

It is an interprime number because it is at equal distance from previous prime (1015221007) and next prime (1015221017).

It is a junction number, because it is equal to n+sod(n) for n = 1015220982 and 1015221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015221017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346578 + ... + 349494.

It is an arithmetic number, because the mean of its divisors is an integer number (28024472).

Almost surely, 21015221012 is an apocalyptic number.

1015221012 is a gapful number since it is divisible by the number (12) 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 1015221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345174656).

1015221012 is an abundant number, since it is smaller than the sum of its proper divisors (1675128300).

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

1015221012 is a wasteful number, since it uses less digits than its factorization.

1015221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1015221012 is about 31862.5330443140. The cubic root of 1015221012 is about 1005.0481440267.

Adding to 1015221012 its reverse (2101225101), we get a palindrome (3116446113).

The spelling of 1015221012 in words is "one billion, fifteen million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 97 138 156 194 276 291 299 388 582 598 897 1164 1196 1261 1794 2231 2522 2917 3588 3783 4462 5044 5834 6693 7566 8751 8924 11668 13386 15132 17502 26772 29003 35004 37921 58006 67091 75842 87009 113763 116012 134182 151684 174018 201273 227526 268364 282949 348036 402546 455052 565898 805092 848847 872183 1131796 1697694 1744366 2616549 3395388 3488732 3678337 5233098 6507827 7356674 10466196 11035011 13015654 14713348 19523481 22070022 26031308 39046962 44140044 78093924 84601751 169203502 253805253 338407004 507610506 1015221012