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42103322330124 = 22311674760665121
BaseRepresentation
bin10011001001010111100011…
…00100100100010000001100
312112002001000220222001200010
421210223301210210100030
521004310101004030444
6225313555501233220
711603602401624666
oct1144536144442014
9175061026861603
1042103322330124
1112462a11907830
12487baa5562810
131a65431a3b783
14a57b51339536
154d030d9482b9
hex264af192440c

42103322330124 has 48 divisors (see below), whose sum is σ = 108771676707456. Its totient is φ = 12568155916800.

The previous prime is 42103322330099. The next prime is 42103322330141.

It is a happy number.

42103322330124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42103322330091 and 42103322330100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380323717 + ... + 2380341404.

It is an arithmetic number, because the mean of its divisors is an integer number (2266076598072).

Almost surely, 242103322330124 is an apocalyptic number.

42103322330124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42103322330124 is an abundant number, since it is smaller than the sum of its proper divisors (66668354377332).

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

42103322330124 is a wasteful number, since it uses less digits than its factorization.

42103322330124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760665206 (or 4760665204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4210332 and 2330124, that added together give a palindrome (6540456).

The spelling of 42103322330124 in words is "forty-two trillion, one hundred three billion, three hundred twenty-two million, three hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844 4760665121 9521330242 14281995363 19042660484 28563990726 52367316331 57127981452 104734632662 157101948993 209469265324 314203897986 318964563107 628407795972 637929126214 956893689321 1275858252428 1913787378642 3508610194177 3827574757284 7017220388354 10525830582531 14034440776708 21051661165062 42103322330124