Search a number
-
+
100554216356545 = 57223251419122501
BaseRepresentation
bin10110110111010000011010…
…010110001011101011000001
3111012000220000020011111222121
4112313100122112023223001
5101134440013341402140
6553505545210404241
730115542135351220
oct2667203226135301
9435026006144877
10100554216356545
112a048892765806
12b3400b7730681
1344152b6718363
141ab8bc8718cb7
15b959a500864a
hex5b741a58bac1

100554216356545 has 64 divisors (see below), whose sum is σ = 139406256783360. Its totient is φ = 68205060000000.

The previous prime is 100554216356537. The next prime is 100554216356611. The reversal of 100554216356545 is 545653612455001.

It is not a de Polignac number, because 100554216356545 - 23 = 100554216356537 is a prime.

It is a super-2 number, since 2×1005542163565452 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 100554216356492 and 100554216356501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820782795 + ... + 820905295.

It is an arithmetic number, because the mean of its divisors is an integer number (2178222762240).

Almost surely, 2100554216356545 is an apocalyptic number.

It is an amenable number.

100554216356545 is a deficient number, since it is larger than the sum of its proper divisors (38852040426815).

100554216356545 is a wasteful number, since it uses less digits than its factorization.

100554216356545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123406.

The product of its (nonzero) digits is 10800000, while the sum is 52.

The spelling of 100554216356545 in words is "one hundred trillion, five hundred fifty-four billion, two hundred sixteen million, three hundred fifty-six thousand, five hundred forty-five".

Divisors: 1 5 7 35 223 251 419 1115 1255 1561 1757 2095 2933 7805 8785 14665 55973 93437 105169 122501 279865 391811 467185 525845 612505 654059 736183 857507 1959055 3270295 3680915 4287535 23452687 27317723 30747751 51327919 117263435 136588615 153738755 164168809 191224061 215234257 256639595 359295433 820844045 956120305 1076171285 1796477165 6856748473 11446125937 12883307669 34283742365 47997239311 57230629685 64416538345 80122881559 90183153683 239986196555 400614407795 450915768415 2872977610187 14364888050935 20110843271309 100554216356545