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100110030011001 = 3267433769949801
BaseRepresentation
bin10110110000110010101110…
…110001101111101001111001
3111010110102111010012020000100
4112300302232301233221321
5101110200320140323001
6552525525103430013
730041465603615313
oct2660625661575171
9433412433166010
10100110030011001
1129997475094a6a
12b289bb25b5309
1343b244891cb2a
141aa14cbda87b3
15b89159344586
hex5b0caec6fa79

100110030011001 has 48 divisors (see below), whose sum is σ = 147122638062400. Its totient is φ = 65582230348800.

The previous prime is 100110030010999. The next prime is 100110030011021.

100110030011001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100110030011001 - 21 = 100110030010999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110030011021) 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, 2010176301 + ... + 2010226101.

Almost surely, 2100110030011001 is an apocalyptic number.

It is an amenable number.

100110030011001 is a deficient number, since it is larger than the sum of its proper divisors (47012608051399).

100110030011001 is a wasteful number, since it uses less digits than its factorization.

100110030011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58006 (or 58003 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The spelling of 100110030011001 in words is "one hundred trillion, one hundred ten billion, thirty million, eleven thousand, one".

Divisors: 1 3 9 67 201 433 603 1299 3897 7699 23097 29011 49801 69291 87033 149403 261099 448209 515833 1547499 3333667 3336667 4642497 10001001 10010001 21563833 30003003 30030003 64691499 194074497 223355689 383417899 670067067 1150253697 1444776811 2010201201 3450761091 4334330433 13002991299 25688999233 77066997699 166019950267 231200993097 498059850801 1494179552403 11123336667889 33370010003667 100110030011001