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100223033131 = 132799537877
BaseRepresentation
bin101110101010111000…
…0100001111100101011
3100120200201022121012001
41131111300201330223
53120224044030011
6114013011231431
710145422503604
oct1352560417453
9316621277161
10100223033131
1139560320201
12175105a8577
1395b2a9c900
144bca91adab
152918ae37c1
hex1755c21f2b

100223033131 has 24 divisors (see below), whose sum is σ = 110028559680. Its totient is φ = 91235079936.

The previous prime is 100223033087. The next prime is 100223033137. The reversal of 100223033131 is 131330322001.

It is a de Polignac number, because none of the positive numbers 2k-100223033131 is a prime.

It is a super-2 number, since 2×1002230331312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100223033099 and 100223033108.

It is not an unprimeable number, because it can be changed into a prime (100223033137) 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, 12719565 + ... + 12727441.

It is an arithmetic number, because the mean of its divisors is an integer number (4584523320).

Almost surely, 2100223033131 is an apocalyptic number.

100223033131 is a deficient number, since it is larger than the sum of its proper divisors (9805526549).

100223033131 is an equidigital number, since it uses as much as digits as its factorization.

100223033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100223033131 its reverse (131330322001), we get a palindrome (231553355132).

The spelling of 100223033131 in words is "one hundred billion, two hundred twenty-three million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 79 169 953 1027 7877 12389 13351 75287 102401 161057 622283 978731 1331213 7506781 8089679 12723503 97588153 105165827 593035699 1268645989 7709464087 100223033131