Search a number
-
+
101517007474830 = 23517463429919991
BaseRepresentation
bin10111000101010001000101…
…001010110101000010001110
3111022102221010210111220110110
4113011101011022311002032
5101301223312403143310
6555524134105420450
730245235040003443
oct2705210512650216
9438387123456413
10101517007474830
112a38a1371a4092
12b47681449a726
134485021c6c00c
141b0d6411459ca
15bb0a54d1ad20
hex5c54452b508e

101517007474830 has 64 divisors (see below), whose sum is σ = 258529807669248. Its totient is φ = 25423748528640.

The previous prime is 101517007474819. The next prime is 101517007474871. The reversal of 101517007474830 is 38474700715101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101517007474830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214723866 + ... + 215196125.

It is an arithmetic number, because the mean of its divisors is an integer number (4039528244832).

Almost surely, 2101517007474830 is an apocalyptic number.

101517007474830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101517007474830 is an abundant number, since it is smaller than the sum of its proper divisors (157012800194418).

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

101517007474830 is a wasteful number, since it uses less digits than its factorization.

101517007474830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429920481.

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 101517007474830 in words is "one hundred one trillion, five hundred seventeen billion, seven million, four hundred seventy-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 463 510 926 1389 2315 2778 4630 6945 7871 13890 15742 23613 39355 47226 78710 118065 236130 429919991 859839982 1289759973 2149599955 2579519946 4299199910 6448799865 7308639847 12897599730 14617279694 21925919541 36543199235 43851839082 73086398470 109629597705 199052955833 219259195410 398105911666 597158867499 995264779165 1194317734998 1990529558330 2985794337495 3383900249161 5971588674990 6767800498322 10151700747483 16919501245805 20303401494966 33839002491610 50758503737415 101517007474830