Search a number
-
+
1012100331 = 31137243521
BaseRepresentation
bin111100010100110…
…110110011101011
32121112110000122110
4330110312303223
54033044202311
6244232453403
734036465554
oct7424666353
92545400573
101012100331
1147a338a60
12242b4a263
131318b5a48
14985bb32b
155dcc18a6
hex3c536ceb

1012100331 has 48 divisors (see below), whose sum is σ = 1551166848. Its totient is φ = 581817600.

The previous prime is 1012100317. The next prime is 1012100333. The reversal of 1012100331 is 1330012101.

It is not a de Polignac number, because 1012100331 - 210 = 1012099307 is a prime.

It is a super-2 number, since 2×10121003312 = 2048694160020619122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012100333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942351 + ... + 1942871.

It is an arithmetic number, because the mean of its divisors is an integer number (32315976).

Almost surely, 21012100331 is an apocalyptic number.

1012100331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012100331 is a deficient number, since it is larger than the sum of its proper divisors (539066517).

1012100331 is a wasteful number, since it uses less digits than its factorization.

1012100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1012100331 is about 31813.5243410723. The cubic root of 1012100331 is about 1004.0172834890.

Adding to 1012100331 its reverse (1330012101), we get a palindrome (2342112432).

The spelling of 1012100331 in words is "one billion, twelve million, one hundred thousand, three hundred thirty-one".

Divisors: 1 3 11 33 37 43 111 129 407 473 521 1221 1369 1419 1563 1591 4107 4773 5731 15059 17193 17501 19277 22403 45177 52503 57831 58867 67209 176601 212047 246433 636141 647537 713249 739299 828911 1942611 2139747 2486733 7845739 9118021 23537217 27354063 30669707 92009121 337366777 1012100331