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1100010210031 = 1710319313812357
BaseRepresentation
bin10000000000011101101…
…101111100001011101111
310220011022121021111021001
4100000131231330023233
5121010310103210111
62201200540221131
7142321164340255
oct20003555741357
93804277244231
101100010210031
1139456a0a4a37
1215923323a7a7
137c965c41605
143b3529a45d5
151d93181b1c1
hex1001db7c2ef

1100010210031 has 32 divisors (see below), whose sum is σ = 1183475899008. Its totient is φ = 1018769080320.

The previous prime is 1100010210017. The next prime is 1100010210067. The reversal of 1100010210031 is 1300120100011.

It is a de Polignac number, because none of the positive numbers 2k-1100010210031 is a prime.

It is a super-3 number, since 3×11000102100313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010210331) 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, 466698105 + ... + 466700461.

It is an arithmetic number, because the mean of its divisors is an integer number (36983621844).

Almost surely, 21100010210031 is an apocalyptic number.

1100010210031 is a deficient number, since it is larger than the sum of its proper divisors (83465688977).

1100010210031 is a wasteful number, since it uses less digits than its factorization.

1100010210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1100010210031 its reverse (1300120100011), we get a palindrome (2400130310042).

The spelling of 1100010210031 in words is "one trillion, one hundred billion, ten million, two hundred ten thousand, thirty-one".

Divisors: 1 17 103 193 1381 1751 2357 3281 19879 23477 40069 142243 242771 266533 337943 454901 2418131 3255017 4127107 4531061 7733317 27452899 46854803 55335289 335266751 466699283 628218281 796531651 5699534767 10679710777 64706482943 1100010210031