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102031023000 = 23353127726633
BaseRepresentation
bin101111100000110000…
…1011101101110011000
3100202100201101000000210
41133001201131232120
53132424420214000
6114512234531120
710241265246234
oct1370141355630
9322321330023
10102031023000
113a2a8941805
1217935b96aa0
1398105295ba
144d1cab35c4
1529c26c9350
hex17c185db98

102031023000 has 128 divisors (see below), whose sum is σ = 318598038720. Its totient is φ = 27185945600.

The previous prime is 102031022983. The next prime is 102031023047. The reversal of 102031023000 is 320130201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 3817684 + ... + 3844316.

Almost surely, 2102031023000 is an apocalyptic number.

102031023000 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 102031023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159299019360).

102031023000 is an abundant number, since it is smaller than the sum of its proper divisors (216567015720).

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

102031023000 is a wasteful number, since it uses less digits than its factorization.

102031023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27934 (or 27920 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102031023000 its reverse (320130201), we get a palindrome (102351153201).

It can be divided in two parts, 10203 and 1023000, that added together give a triangular number (1033203 = T1437).

The spelling of 102031023000 in words is "one hundred two billion, thirty-one million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1277 1500 2554 3000 3831 5108 6385 7662 10216 12770 15324 19155 25540 26633 30648 31925 38310 51080 53266 63850 76620 79899 95775 106532 127700 133165 153240 159625 159798 191550 213064 255400 266330 319250 319596 383100 399495 478875 532660 638500 639192 665825 766200 798990 957750 1065320 1277000 1331650 1597980 1915500 1997475 2663300 3195960 3329125 3831000 3994950 5326600 6658250 7989900 9987375 13316500 15979800 19974750 26633000 34010341 39949500 68020682 79899000 102031023 136041364 170051705 204062046 272082728 340103410 408124092 510155115 680206820 816248184 850258525 1020310230 1360413640 1700517050 2040620460 2550775575 3401034100 4081240920 4251292625 5101551150 6802068200 8502585250 10203102300 12753877875 17005170500 20406204600 25507755750 34010341000 51015511500 102031023000