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10114113420 = 22325431306733
BaseRepresentation
bin10010110101101100…
…10001111110001100
3222002212111012022100
421122312101332030
5131203203112140
64351340315100
7505431355065
oct113266217614
928085435270
1010114113420
114320176124
121b63242a90
13c52532bc8
146bd38956c
153e2dee530
hex25ad91f8c

10114113420 has 72 divisors (see below), whose sum is σ = 31392977616. Its totient is φ = 2634371712.

The previous prime is 10114113407. The next prime is 10114113431. The reversal of 10114113420 is 2431141101.

10114113420 is a `hidden beast` number, since 101 + 141 + 1 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10114113393 and 10114113402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645627 + ... + 661106.

It is an arithmetic number, because the mean of its divisors is an integer number (436013578).

Almost surely, 210114113420 is an apocalyptic number.

10114113420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114113420 is an abundant number, since it is smaller than the sum of its proper divisors (21278864196).

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

10114113420 is a wasteful number, since it uses less digits than its factorization.

10114113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306791 (or 1306786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10114113420 its reverse (2431141101), we get a palindrome (12545254521).

The spelling of 10114113420 in words is "ten billion, one hundred fourteen million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 1306733 2613466 3920199 5226932 6533665 7840398 11760597 13067330 15680796 19600995 23521194 26134660 39201990 47042388 56189519 58802985 78403980 112379038 117605970 168568557 224758076 235211940 280947595 337137114 505705671 561895190 674274228 842842785 1011411342 1123790380 1685685570 2022822684 2528528355 3371371140 5057056710 10114113420