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13434763100 = 22521121110311
BaseRepresentation
bin11001000001100011…
…00011011101011100
31021200021212200022112
430200301203131130
5210003244404400
610101041333152
7653632413353
oct144061433534
937607780275
1013434763100
115774634400
12272b3371b8
131361495285
149163bc99a
155396d0835
hex320c6375c

13434763100 has 54 divisors (see below), whose sum is σ = 32044714632. Its totient is φ = 4885364000.

The previous prime is 13434763073. The next prime is 13434763103. The reversal of 13434763100 is 136743431.

It is a super-2 number, since 2×134347631002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434763103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 543056 + ... + 567255.

Almost surely, 213434763100 is an apocalyptic number.

13434763100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434763100 is an abundant number, since it is smaller than the sum of its proper divisors (18609951532).

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

13434763100 is a wasteful number, since it uses less digits than its factorization.

13434763100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110347 (or 1110329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 13434763100 in words is "thirteen billion, four hundred thirty-four million, seven hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 1110311 2220622 4441244 5551555 11103110 12213421 22206220 24426842 27757775 48853684 55515550 61067105 111031100 122134210 134347631 244268420 268695262 305335525 537390524 610671050 671738155 1221342100 1343476310 2686952620 3358690775 6717381550 13434763100