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4123331403100 = 22527131373330017
BaseRepresentation
bin111100000000001001101…
…101000001110101011100
3112121012001001111010100121
4330000021231001311130
51020024040314344400
612434122102004324
7603620665432030
oct74001155016534
915535031433317
104123331403100
11134a77109a198
125671674166a4
1323baa023b930
141037dacb81c0
15723cd66821a
hex3c009b41d5c

4123331403100 has 144 divisors (see below), whose sum is σ = 11020520766528. Its totient is φ = 1304012021760.

The previous prime is 4123331403043. The next prime is 4123331403119. The reversal of 4123331403100 is 13041333214.

It is a super-2 number, since 2×41233314031002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 12329292 + ... + 12659308.

It is an arithmetic number, because the mean of its divisors is an integer number (76531394212).

Almost surely, 24123331403100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123331403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510260383264).

4123331403100 is an abundant number, since it is smaller than the sum of its proper divisors (6897189363428).

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

4123331403100 is a wasteful number, since it uses less digits than its factorization.

4123331403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331424 (or 331417 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 4123331403100 its reverse (13041333214), we get a palindrome (4136372736314).

The spelling of 4123331403100 in words is "four trillion, one hundred twenty-three billion, three hundred thirty-one million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1373 1820 2275 2746 4550 5492 6865 9100 9611 13730 17849 19222 27460 34325 35698 38444 48055 68650 71396 89245 96110 124943 137300 178490 192220 240275 249886 330017 356980 446225 480550 499772 624715 660034 892450 961100 1249430 1320068 1650085 1784900 2310119 2498860 3123575 3300170 4290221 4620238 6247150 6600340 8250425 8580442 9240476 11550595 12494300 16500850 17160884 21451105 23101190 30031547 33001700 42902210 46202380 57752975 60063094 85804420 107255525 115505950 120126188 150157735 214511050 231011900 300315470 429022100 453113341 600630940 750788675 906226682 1501577350 1812453364 2265566705 3003154700 3171793387 4531133410 5890473433 6343586774 9062266820 11327833525 11780946866 12687173548 15858966935 22655667050 23561893732 29452367165 31717933870 41233314031 45311334100 58904734330 63435867740 79294834675 82466628062 117809468660 147261835825 158589669350 164933256124 206166570155 294523671650 317179338700 412333140310 589047343300 824666280620 1030832850775 2061665701550 4123331403100