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106254405411 = 37112331816287
BaseRepresentation
bin110001011110101000…
…0011000111100100011
3101011021001102001112120
41202331100120330203
53220102111433121
6120451304355323
710451040354420
oct1427520307443
9334231361476
10106254405411
11410759294a0
1218714475b43
13a03450114b
1451dd974d47
152b6d376bc6
hex18bd418f23

106254405411 has 64 divisors (see below), whose sum is σ = 184397561856. Its totient is φ = 52772227200.

The previous prime is 106254405401. The next prime is 106254405421. The reversal of 106254405411 is 114504452601.

It is an interprime number because it is at equal distance from previous prime (106254405401) and next prime (106254405421).

It is not a de Polignac number, because 106254405411 - 25 = 106254405379 is a prime.

It is a super-2 number, since 2×1062544054112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106254405401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16897510 + ... + 16903796.

It is an arithmetic number, because the mean of its divisors is an integer number (2881211904).

Almost surely, 2106254405411 is an apocalyptic number.

106254405411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106254405411 is a deficient number, since it is larger than the sum of its proper divisors (78143156445).

106254405411 is a wasteful number, since it uses less digits than its factorization.

106254405411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512.

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 106254405411 in words is "one hundred six billion, two hundred fifty-four million, four hundred five thousand, four hundred eleven".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 759 1771 3181 5313 6287 9543 18861 22267 34991 44009 66801 69157 73163 104973 132027 144601 207471 219489 244937 433803 484099 512141 734811 804793 1012207 1452297 1536423 1590611 2414379 3036621 4771833 5633551 11134277 16900653 19998947 33402831 59996841 139992629 219988417 419977887 459975781 659965251 1379927343 1539918919 3219830467 4619756757 5059733591 9659491401 15179200773 35418135137 106254405411