Search a number
-
+
10154102363031 = 31112491279192617
BaseRepresentation
bin1001001111000010111110…
…1010100001001110010111
31022221201111212000101211110
42103300233222201032113
52312331100201104111
633332421421310103
72065416056665524
oct223605752411627
938851455011743
1010154102363031
113265370081240
12117bb24405333
135886b25b9613
1427166567c14b
151291e8c675a6
hex93c2faa1397

10154102363031 has 32 divisors (see below), whose sum is σ = 14793062400000. Its totient is φ = 6144234670080.

The previous prime is 10154102363029. The next prime is 10154102363101. The reversal of 10154102363031 is 13036320145101.

It is not a de Polignac number, because 10154102363031 - 21 = 10154102363029 is a prime.

It is a super-2 number, since 2×101541023630312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10154102363031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154102364031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52620235 + ... + 52812851.

It is an arithmetic number, because the mean of its divisors is an integer number (462283200000).

Almost surely, 210154102363031 is an apocalyptic number.

10154102363031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10154102363031 is a deficient number, since it is larger than the sum of its proper divisors (4638960036969).

10154102363031 is a wasteful number, since it uses less digits than its factorization.

10154102363031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195159.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10154102363031 in words is "ten trillion, one hundred fifty-four billion, one hundred two million, three hundred sixty-three thousand, thirty-one".

Divisors: 1 3 11 33 1249 1279 3747 3837 13739 14069 41217 42207 192617 577851 1597471 2118787 4792413 6356361 17572181 52716543 240578633 246357143 721735899 739071429 2646364963 2709928573 7939094889 8129785719 307700071607 923100214821 3384700787677 10154102363031