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10120105114452 = 22323161148658927
BaseRepresentation
bin1001001101000100010101…
…0001010011101101010100
31022211110202112012020020200
42103101011101103231110
52311301433402130302
633305040114300500
72063103432102654
oct223210521235524
938743675166220
1010120105114452
113251a04563193
121175416887730
13585425057298
1426db5c3d8364
151283a925d81c
hex93445453b54

10120105114452 has 72 divisors (see below), whose sum is σ = 26839477496832. Its totient is φ = 3211032801600.

The previous prime is 10120105114451. The next prime is 10120105114477. The reversal of 10120105114452 is 25441150102101.

10120105114452 is a `hidden beast` number, since 1 + 0 + 1 + 201 + 0 + 5 + 1 + 1 + 4 + 452 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120105114451) 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 23 ways as a sum of consecutive naturals, for example, 74261388 + ... + 74397539.

Almost surely, 210120105114452 is an apocalyptic number.

10120105114452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120105114452 is an abundant number, since it is smaller than the sum of its proper divisors (16719372382380).

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

10120105114452 is a wasteful number, since it uses less digits than its factorization.

10120105114452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148659029 (or 148659024 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 10120105114452 its reverse (25441150102101), we get a palindrome (35561255216553).

The spelling of 10120105114452 in words is "ten trillion, one hundred twenty billion, one hundred five million, one hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 183 186 244 279 366 372 549 558 732 1098 1116 1891 2196 3782 5673 7564 11346 17019 22692 34038 68076 148658927 297317854 445976781 594635708 891953562 1337930343 1783907124 2675860686 4608426737 5351721372 9068194547 9216853474 13825280211 18136389094 18433706948 27204583641 27650560422 36272778188 41475840633 54409167282 55301120844 81613750923 82951681266 108818334564 163227501846 165903362532 281114030957 326455003692 562228061914 843342092871 1124456123828 1686684185742 2530026278613 3373368371484 5060052557226 10120105114452