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101033131212 = 223213587936721
BaseRepresentation
bin101111000011000001…
…0110011110011001100
3100122210011122211211200
41132012002303303030
53123403440144322
6114225230345500
710204460305566
oct1360602636314
9318704584750
10101033131212
1139936628952
12176b795b290
1396b1879ba0
144c66354336
152964cb28ac
hex17860b3ccc

101033131212 has 72 divisors (see below), whose sum is σ = 275088908640. Its totient is φ = 31080983040.

The previous prime is 101033131193. The next prime is 101033131217. The reversal of 101033131212 is 212131330101.

101033131212 is a `hidden beast` number, since 1 + 0 + 10 + 331 + 312 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101033131217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733012 + ... + 2769732.

Almost surely, 2101033131212 is an apocalyptic number.

101033131212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101033131212 is an abundant number, since it is smaller than the sum of its proper divisors (174055777428).

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

101033131212 is a wasteful number, since it uses less digits than its factorization.

101033131212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42623 (or 42618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101033131212 its reverse (212131330101), we get a palindrome (313164461313).

The spelling of 101033131212 in words is "one hundred one billion, thirty-three million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5879 11758 17637 23516 35274 36721 52911 70548 73442 76427 105822 110163 146884 152854 211644 220326 229281 305708 330489 440652 458562 477373 660978 687843 917124 954746 1321956 1375686 1432119 1909492 2751372 2864238 4296357 5728476 8592714 17185428 215882759 431765518 647648277 863531036 1295296554 1942944831 2590593108 2806475867 3885889662 5612951734 7771779324 8419427601 11225903468 16838855202 25258282803 33677710404 50516565606 101033131212