Search a number
-
+
10001013543534 = 2313317952355297
BaseRepresentation
bin1001000110001000101011…
…0111000001001001101110
31022102002100211101121011210
42101202022313001021232
52302324033431343114
633134222512455250
72051356303333566
oct221421267011156
938362324347153
1010001013543534
113206451468302
12115631b24a526
13577126128120
142680a19a3da6
15125238dec259
hex9188adc126e

10001013543534 has 64 divisors (see below), whose sum is σ = 22516966563840. Its totient is φ = 2940273423360.

The previous prime is 10001013543487. The next prime is 10001013543539. The reversal of 10001013543534 is 43534531010001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001013543539) 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 31 ways as a sum of consecutive naturals, for example, 25986627 + ... + 26368670.

It is an arithmetic number, because the mean of its divisors is an integer number (351827602560).

Almost surely, 210001013543534 is an apocalyptic number.

10001013543534 is an abundant number, since it is smaller than the sum of its proper divisors (12515953020306).

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

10001013543534 is a wasteful number, since it uses less digits than its factorization.

10001013543534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52355425.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10001013543534 its reverse (43534531010001), we get a palindrome (53535544553535).

The spelling of 10001013543534 in words is "ten trillion, one billion, thirteen million, five hundred forty-three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 79 93 158 186 237 403 474 806 1027 1209 2054 2418 2449 3081 4898 6162 7347 14694 31837 63674 95511 191022 52355297 104710594 157065891 314131782 680618861 1361237722 1623014207 2041856583 3246028414 4083713166 4136068463 4869042621 8272136926 9738085242 12408205389 21099184691 24816410778 42198369382 53768890019 63297554073 107537780038 126595108146 128218122353 161306670057 256436244706 322613340114 384654367059 769308734118 1666835590589 3333671181178 5000506771767 10001013543534