Search a number
-
+
101005155425055 = 3571972137019153
BaseRepresentation
bin10110111101110100011000…
…011010001101101100011111
3111020121222221221120200102110
4112331310120122031230133
5101214332024242100210
6554453043335525103
730163244624242110
oct2675643032155437
9436558857520373
10101005155425055
112a202056047232
12b3b3586229793
13444898c51b64b
141ad2965c18207
15ba259893e420
hex5bdd1868db1f

101005155425055 has 64 divisors (see below), whose sum is σ = 194442919511040. Its totient is φ = 43737515329536.

The previous prime is 101005155424963. The next prime is 101005155425077. The reversal of 101005155425055 is 550524551500101.

It is not a de Polignac number, because 101005155425055 - 213 = 101005155416863 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10880359 + ... + 17899511.

It is an arithmetic number, because the mean of its divisors is an integer number (3038170617360).

Almost surely, 2101005155425055 is an apocalyptic number.

101005155425055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101005155425055 is a deficient number, since it is larger than the sum of its proper divisors (93437764085985).

101005155425055 is a wasteful number, since it uses less digits than its factorization.

101005155425055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026400.

The product of its (nonzero) digits is 125000, while the sum is 39.

The spelling of 101005155425055 in words is "one hundred one trillion, five billion, one hundred fifty-five million, four hundred twenty-five thousand, fifty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 285 399 665 1995 7213 21639 36065 50491 108195 137047 151473 252455 411141 685235 757365 959329 2055705 2877987 4796645 7019153 14389935 21057459 35095765 49134071 105287295 133363907 147402213 245670355 400091721 666819535 737011065 933547349 2000458605 2800642047 4667736745 14003210235 50629150589 151887451767 253145752945 354404054123 759437258835 961953861191 1063212162369 1772020270615 2885861583573 4809769305955 5316060811845 6733677028337 14429307917865 20201031085011 33668385141685 101005155425055