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23312020102000 = 2453711171490729
BaseRepresentation
bin1010100110011110000001…
…01011010101101101110000
310001112121101202121020221221
411103033000223111231300
511023421004121231000
6121325221051154424
74624144406260450
oct523170053255560
9101477352536857
1023312020102000
117478632671603
122746038445a14
131001410cc4a16
145a8444827d60
152a65ec17a61a
hex1533c0ad5b70

23312020102000 has 160 divisors (see below), whose sum is σ = 64478818984320. Its totient is φ = 7985531750400.

The previous prime is 23312020101977. The next prime is 23312020102009. The reversal of 23312020102000 is 20102021332.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312020102009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14892636 + ... + 16383364.

It is an arithmetic number, because the mean of its divisors is an integer number (402992618652).

Almost surely, 223312020102000 is an apocalyptic number.

23312020102000 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 23312020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32239409492160).

23312020102000 is an abundant number, since it is smaller than the sum of its proper divisors (41166798882320).

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

23312020102000 is a wasteful number, since it uses less digits than its factorization.

23312020102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491876 (or 1491860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23312020102000 its reverse (20102021332), we get a palindrome (23332122123332).

The spelling of 23312020102000 in words is "twenty-three trillion, three hundred twelve billion, twenty million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1117 1400 1750 2000 2234 2800 3500 4468 5585 7000 7819 8936 11170 14000 15638 17872 22340 27925 31276 39095 44680 55850 62552 78190 89360 111700 125104 139625 156380 195475 223400 279250 312760 390950 446800 558500 625520 781900 977375 1117000 1490729 1563800 1954750 2234000 2981458 3127600 3909500 5962916 7453645 7819000 10435103 11925832 14907290 15638000 20870206 23851664 29814580 37268225 41740412 52175515 59629160 74536450 83480824 104351030 119258320 149072900 166961648 186341125 208702060 260877575 298145800 372682250 417404120 521755150 596291600 745364500 834808240 1043510300 1304387875 1490729000 1665144293 2087020600 2608775750 2981458000 3330288586 4174041200 5217551500 6660577172 8325721465 10435103000 11656010051 13321154344 16651442930 20870206000 23312020102 26642308688 33302885860 41628607325 46624040204 58280050255 66605771720 83257214650 93248080408 116560100510 133211543440 166514429300 186496160816 208143036625 233120201020 291400251275 333028858600 416286073250 466240402040 582800502550 666057717200 832572146500 932480804080 1165601005100 1457001256375 1665144293000 2331202010200 2914002512750 3330288586000 4662404020400 5828005025500 11656010051000 23312020102000