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10000342411110 = 2325536553319931
BaseRepresentation
bin1001000110000110001011…
…0110110110011101100110
31022102000122001112112120100
42101201202312312131212
52302321200124123420
633134032140044530
72051333543653362
oct221414266663546
938360561475510
1010000342411110
113206137645607
121156172533746
1357704a08544c
1426803a7c22a2
151251ea02d190
hex91862db6766

10000342411110 has 96 divisors (see below), whose sum is σ = 26495598568608. Its totient is φ = 2616034337280.

The previous prime is 10000342411093. The next prime is 10000342411127. The reversal of 10000342411110 is 1111424300001.

10000342411110 is a `hidden beast` number, since 100 + 0 + 0 + 3 + 42 + 411 + 110 = 666.

10000342411110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10000342411093) and next prime (10000342411127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31097845 + ... + 31417775.

It is an arithmetic number, because the mean of its divisors is an integer number (275995818423).

Almost surely, 210000342411110 is an apocalyptic number.

10000342411110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000342411110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247799284304).

10000342411110 is an abundant number, since it is smaller than the sum of its proper divisors (16495256157498).

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

10000342411110 is a wasteful number, since it uses less digits than its factorization.

10000342411110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326550 (or 326547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10000342411110 its reverse (1111424300001), we get a palindrome (11111766711111).

The spelling of 10000342411110 in words is "ten trillion, three hundred forty-two million, four hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 6553 13106 19659 32765 39318 58977 65530 98295 117954 196590 294885 319931 347309 589770 639862 694618 959793 1041927 1599655 1736545 1919586 2083854 2879379 3125781 3199310 3473090 4798965 5209635 5758758 6251562 9597930 10419270 14396895 15628905 16956343 28793790 31257810 33912686 50869029 84781715 101738058 152607087 169563430 254345145 305214174 508690290 763035435 1526070870 2096507843 4193015686 6289523529 10482539215 12579047058 18868570587 20965078430 31447617645 37737141174 62895235290 94342852935 111114915679 188685705870 222229831358 333344747037 555574578395 666689494074 1000034241111 1111149156790 1666723735185 2000068482222 3333447470370 5000171205555 10000342411110