Search a number
-
+
13102030123100 = 22521773186156731
BaseRepresentation
bin1011111010101000110111…
…0110011111000001011100
31201101112122000011210212122
42332222031312133001130
53204130424202414400
643510553424122112
72521406343342212
oct276521566370134
951345560153778
1013102030123100
1141a15a3487386
121577317466338
13740692c5b219
143341da942cb2
1517ac31c34685
hexbea8dd9f05c

13102030123100 has 144 divisors (see below), whose sum is σ = 30533158315296. Its totient is φ = 4862260224000.

The previous prime is 13102030123069. The next prime is 13102030123121. The reversal of 13102030123100 is 132103020131.

It is a super-2 number, since 2×131020301231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230921735 + ... + 230978465.

It is an arithmetic number, because the mean of its divisors is an integer number (212035821634).

Almost surely, 213102030123100 is an apocalyptic number.

13102030123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102030123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266579157648).

13102030123100 is an abundant number, since it is smaller than the sum of its proper divisors (17431128192196).

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

13102030123100 is a wasteful number, since it uses less digits than its factorization.

13102030123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58696 (or 58689 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13102030123100 its reverse (132103020131), we get a palindrome (13234133143231).

The spelling of 13102030123100 in words is "thirteen trillion, one hundred two billion, thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 292 340 365 425 730 850 1241 1460 1700 1825 1861 2482 3650 3722 4964 6205 7300 7444 9305 12410 18610 24820 31025 31637 37220 46525 56731 62050 63274 93050 113462 124100 126548 135853 158185 186100 226924 271706 283655 316370 543412 567310 632740 679265 790925 964427 1134620 1358530 1418275 1581850 1928854 2309501 2717060 2836550 3163700 3396325 3857708 4141363 4619002 4822135 5673100 6792650 8282726 9238004 9644270 11547505 13585300 16565452 19288540 20706815 23095010 24110675 41413630 46190020 48221350 57737525 70403171 82827260 96442700 103534075 105576391 115475050 140806342 207068150 211152782 230950100 281612684 352015855 414136300 422305564 527881955 704031710 1055763910 1408063420 1760079275 1794798647 2111527820 2639409775 3520158550 3589597294 5278819550 7040317100 7179194588 7707076543 8973993235 10557639100 15414153086 17947986470 30828306172 35895972940 38535382715 44869966175 77070765430 89739932350 131020301231 154141530860 179479864700 192676913575 262040602462 385353827150 524081204924 655101506155 770707654300 1310203012310 2620406024620 3275507530775 6551015061550 13102030123100