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23131009980 = 223251317357139
BaseRepresentation
bin10101100010101101…
…110011001110111100
32012201001002001111100
4111202231303032330
5334333014304410
614343133453100
71446131224611
oct254255631674
965631061440
1023131009980
11989a941181
124596641190
13224826c570
141196072508
15905a8c8c0
hex562b733bc

23131009980 has 144 divisors (see below), whose sum is σ = 75999399840. Its totient is φ = 5660775936.

The previous prime is 23131009973. The next prime is 23131009981. The reversal of 23131009980 is 8990013132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131009981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376251 + ... + 433389.

It is an arithmetic number, because the mean of its divisors is an integer number (527773610).

Almost surely, 223131009980 is an apocalyptic number.

23131009980 is a gapful number since it is divisible by the number (20) 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 23131009980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37999699920).

23131009980 is an abundant number, since it is smaller than the sum of its proper divisors (52868389860).

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

23131009980 is a wasteful number, since it uses less digits than its factorization.

23131009980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57340 (or 57335 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 23131009980 in words is "twenty-three billion, one hundred thirty-one million, nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 173 180 195 234 260 346 390 468 519 585 692 780 865 1038 1170 1557 1730 2076 2249 2340 2595 3114 3460 4498 5190 6228 6747 7785 8996 10380 11245 13494 15570 20241 22490 26988 31140 33735 40482 44980 57139 67470 80964 101205 114278 134940 171417 202410 228556 285695 342834 404820 514251 571390 685668 742807 857085 1028502 1142780 1485614 1714170 2057004 2228421 2571255 2971228 3428340 3714035 4456842 5142510 6685263 7428070 8913684 9885047 10285020 11142105 13370526 14856140 19770094 22284210 26741052 29655141 33426315 39540188 44568420 49425235 59310282 66852630 88965423 98850470 118620564 128505611 133705260 148275705 177930846 197700940 257011222 296551410 355861692 385516833 444827115 514022444 593102820 642528055 771033666 889654230 1156550499 1285056110 1542067332 1779308460 1927584165 2313100998 2570112220 3855168330 4626201996 5782752495 7710336660 11565504990 23131009980