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34109730501 = 3721157136943
BaseRepresentation
bin11111110001000110…
…010010111011000101
310021001011110211202220
4133301012102323011
51024324042334001
623400401522553
72315161632300
oct376106227305
9107034424686
1034109730501
1113514065420
12673b343459
1332a79562b2
1419181a3b37
15d49826c36
hex7f1192ec5

34109730501 has 48 divisors (see below), whose sum is σ = 57817064448. Its totient is φ = 17687829600.

The previous prime is 34109730493. The next prime is 34109730517. The reversal of 34109730501 is 10503790143.

It is not a de Polignac number, because 34109730501 - 23 = 34109730493 is a prime.

It is a super-2 number, since 2×341097305012 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34109730541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 904836 + ... + 941778.

It is an arithmetic number, because the mean of its divisors is an integer number (1204522176).

Almost surely, 234109730501 is an apocalyptic number.

It is an amenable number.

34109730501 is a deficient number, since it is larger than the sum of its proper divisors (23707333947).

34109730501 is a wasteful number, since it uses less digits than its factorization.

34109730501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37542 (or 37535 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 34109730501 in words is "thirty-four billion, one hundred nine million, seven hundred thirty thousand, five hundred one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 571 1617 1713 3997 6281 11991 18843 27979 36943 43967 83937 110829 131901 258601 307769 406373 775803 923307 1219119 1810207 2844611 5430621 8533833 19912277 21094453 59736831 63283359 147661171 232038983 442983513 696116949 1033628197 1624272881 3100884591 4872818643 11369910167 34109730501