Search a number
-
+
106011336613611 = 31113398369620311
BaseRepresentation
bin11000000110101010110000…
…000011111001111011101011
3111220100120210022200201111010
4120012222300003321323223
5102343342204133113421
61013244534040435003
731221031514241162
oct3006526003717353
9456316708621433
10106011336613611
1130862178899190
12ba8185a178a63
13471ca9807a520
141c26d944963d9
15c3c8e8b39076
hex606ab00f9eeb

106011336613611 has 32 divisors (see below), whose sum is σ = 166060400647680. Its totient is φ = 59306796979200.

The previous prime is 106011336613571. The next prime is 106011336613619. The reversal of 106011336613611 is 116316633110601.

It is not a de Polignac number, because 106011336613611 - 29 = 106011336613099 is a prime.

It is a super-2 number, since 2×1060113366136112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106011336613611.

It is not an unprimeable number, because it can be changed into a prime (106011336613619) 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, 170590146 + ... + 171210456.

It is an arithmetic number, because the mean of its divisors is an integer number (5189387520240).

Almost surely, 2106011336613611 is an apocalyptic number.

106011336613611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106011336613611 is a deficient number, since it is larger than the sum of its proper divisors (60049064034069).

106011336613611 is a wasteful number, since it uses less digits than its factorization.

106011336613611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018707.

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 106011336613611 in words is "one hundred six trillion, eleven billion, three hundred thirty-six million, six hundred thirteen thousand, six hundred eleven".

Divisors: 1 3 11 13 33 39 143 429 398369 620311 1195107 1860933 4382059 5178797 6823421 8064043 13146177 15536391 20470263 24192129 56966767 88704473 170900301 266113419 247112672759 741338018277 2718239400349 3212464745867 8154718201047 9637394237601 35337112204537 106011336613611