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11401012620 = 22325181349939
BaseRepresentation
bin10101001111000110…
…11010010110001100
31002102120000110010200
422213203122112030
5141322124400440
65123151133500
7552346002564
oct124743322614
932376013120
1011401012620
114920635588
122262214290
1310c9031b1a
147a2259da4
1546ada2c30
hex2a78da58c

11401012620 has 72 divisors (see below), whose sum is σ = 34774237680. Its totient is φ = 3023464320.

The previous prime is 11401012607. The next prime is 11401012627. The reversal of 11401012620 is 2621010411.

11401012620 is a `hidden beast` number, since 1 + 1 + 40 + 1 + 0 + 1 + 2 + 620 = 666.

11401012620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×114010126204 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 = 11401012593 and 11401012602.

It is not an unprimeable number, because it can be changed into a prime (11401012627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142390 + ... + 207549.

Almost surely, 211401012620 is an apocalyptic number.

11401012620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11401012620 is an abundant number, since it is smaller than the sum of its proper divisors (23373225060).

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

11401012620 is a wasteful number, since it uses less digits than its factorization.

11401012620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350135 (or 350130 counting only the distinct ones).

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

The spelling of 11401012620 in words is "eleven billion, four hundred one million, twelve thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 349939 699878 1049817 1399756 1749695 2099634 3149451 3499390 4199268 5249085 6298902 6998780 10498170 12597804 15747255 20996340 31494510 62989020 63338959 126677918 190016877 253355836 316694795 380033754 570050631 633389590 760067508 950084385 1140101262 1266779180 1900168770 2280202524 2850253155 3800337540 5700506310 11401012620