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105423126402 = 231143167222437
BaseRepresentation
bin110001000101110110…
…1010011111110000010
3101002010010012201010010
41202023231103332002
53211401310021102
6120233011245350
710421324534436
oct1421355237602
9332103181103
10105423126402
1140789674250
1218521ba9856
139c31219089
1451613c69c6
152b203c1d6c
hex188bb53f82

105423126402 has 64 divisors (see below), whose sum is σ = 236773684224. Its totient is φ = 31016475840.

The previous prime is 105423126379. The next prime is 105423126437. The reversal of 105423126402 is 204621324501.

It is a super-2 number, since 2×1054231264022 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105423126402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362728 + ... + 585164.

It is an arithmetic number, because the mean of its divisors is an integer number (3699588816).

Almost surely, 2105423126402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105423126402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118386842112).

105423126402 is an abundant number, since it is smaller than the sum of its proper divisors (131350557822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105423126402 is a wasteful number, since it uses less digits than its factorization.

105423126402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222663.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 105423126402 in words is "one hundred five billion, four hundred twenty-three million, one hundred twenty-six thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 167 258 334 473 501 946 1002 1419 1837 2838 3674 5511 7181 11022 14362 21543 43086 78991 157982 222437 236973 444874 473946 667311 1334622 2446807 4893614 7340421 9564791 14680842 19129582 28694373 37146979 57388746 74293958 105212701 111440937 210425402 222881874 315638103 408616769 631276206 817233538 1225850307 1597320097 2451700614 3194640194 4791960291 9583920582 17570521067 35141042134 52711563201 105423126402