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102332013023000 = 2353792575040241
BaseRepresentation
bin10111010001001000000111…
…010010010000111100011000
3111102022211210221020110210102
4113101020013102100330120
5101403101430313214000
61001350402223034532
730361146451603355
oct2721100722207430
9442284727213712
10102332013023000
112a67384361a262
12b58876813ba48
134513b37957b77
141b3ac7833762c
15bc6d5566b3d5
hex5d1207490f18

102332013023000 has 128 divisors (see below), whose sum is σ = 243431592019200. Its totient is φ = 40257404928000.

The previous prime is 102332013022999. The next prime is 102332013023003. The reversal of 102332013023000 is 320310233201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102332013023003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17782880 + ... + 22823120.

It is an arithmetic number, because the mean of its divisors is an integer number (1901809312650).

Almost surely, 2102332013023000 is an apocalyptic number.

102332013023000 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 102332013023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121715796009600).

102332013023000 is an abundant number, since it is smaller than the sum of its proper divisors (141099578996200).

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

102332013023000 is a wasteful number, since it uses less digits than its factorization.

102332013023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040598 (or 5040584 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 102332013023000 its reverse (320310233201), we get a palindrome (102652323256201).

The spelling of 102332013023000 in words is "one hundred two trillion, three hundred thirty-two billion, thirteen million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 257 316 395 500 514 632 790 1000 1028 1285 1580 1975 2056 2570 3160 3950 5140 6425 7900 9875 10280 12850 15800 19750 20303 25700 32125 39500 40606 51400 64250 79000 81212 101515 128500 162424 203030 257000 406060 507575 812120 1015150 2030300 2537875 4060600 5040241 5075750 10080482 10151500 20160964 20303000 25201205 40321928 50402410 100804820 126006025 201609640 252012050 398179039 504024100 630030125 796358078 1008048200 1260060250 1295341937 1592716156 1990895195 2520120500 2590683874 3185432312 3981790390 5040241000 5181367748 6476709685 7963580780 9954475975 10362735496 12953419370 15927161560 19908951950 25906838740 32383548425 39817903900 49772379875 51813677480 64767096850 79635807800 99544759750 102332013023 129534193700 161917742125 199089519500 204664026046 259068387400 323835484250 398179039000 409328052092 511660065115 647670968500 818656104184 1023320130230 1295341937000 2046640260460 2558300325575 4093280520920 5116600651150 10233201302300 12791501627875 20466402604600 25583003255750 51166006511500 102332013023000