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1102917939601 = 832126532
BaseRepresentation
bin10000000011001011000…
…010000011000110010001
310220102211020200110100211
4100003023002003012101
5121032233443031401
62202401251044121
7142453222543042
oct20031302030621
93812736613324
101102917939601
11395821473225
12159904ba0641
138000a48a65a
143b54ac2c8c9
151da51c35951
hex100cb083191

1102917939601 has 9 divisors (see below), whose sum is σ = 1116454442299. Its totient is φ = 1089543655336.

The previous prime is 1102917939593. The next prime is 1102917939679. The reversal of 1102917939601 is 1069397192011.

The square root of 1102917939601 is 1050199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4354020225 + 1098563919376 = 65985^2 + 1048124^2 .

It is not a de Polignac number, because 1102917939601 - 23 = 1102917939593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102917939901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87160191 + ... + 87172843.

Almost surely, 21102917939601 is an apocalyptic number.

1102917939601 is the 1050199-th square number.

1102917939601 is the 525100-th centered octagonal number.

It is an amenable number.

1102917939601 is a deficient number, since it is larger than the sum of its proper divisors (13536502698).

1102917939601 is an frugal number, since it uses more digits than its factorization.

1102917939601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 49.

Multiplying 1102917939601 by its sum of digits (49), we get a square (54042979040449 = 73513932).

The spelling of 1102917939601 in words is "one trillion, one hundred two billion, nine hundred seventeen million, nine hundred thirty-nine thousand, six hundred one".

Divisors: 1 83 6889 12653 1050199 87166517 160098409 13288167947 1102917939601