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102231320000 = 265423111121
BaseRepresentation
bin101111100110101110…
…1100010010111000000
3100202212200021010212012
41133031131202113000
53133332204220000
6114544151552052
710246246611425
oct1371535422700
9322780233765
10102231320000
113a3a0a07917
121799108b628
139842b88b34
144d3b531d4c
1529d5091735
hex17cd7625c0

102231320000 has 140 divisors (see below), whose sum is σ = 264524587536. Its totient is φ = 39114240000.

The previous prime is 102231319997. The next prime is 102231320017. The reversal of 102231320000 is 23132201.

It is a happy number.

It is a super-3 number, since 3×1022313200003 (a number of 34 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 864440 + ... + 975560.

Almost surely, 2102231320000 is an apocalyptic number.

102231320000 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 102231320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132262293768).

102231320000 is an abundant number, since it is smaller than the sum of its proper divisors (162293267536).

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

102231320000 is an equidigital number, since it uses as much as digits as its factorization.

102231320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111176 (or 111151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102231320000 its reverse (23132201), we get a palindrome (102254452201).

The spelling of 102231320000 in words is "one hundred two billion, two hundred thirty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 625 736 800 920 1000 1150 1250 1472 1600 1840 2000 2300 2500 2875 3680 4000 4600 5000 5750 7360 8000 9200 10000 11500 14375 18400 20000 23000 28750 36800 40000 46000 57500 92000 111121 115000 184000 222242 230000 444484 460000 555605 888968 920000 1111210 1777936 2222420 2555783 2778025 3555872 4444840 5111566 5556050 7111744 8889680 10223132 11112100 12778915 13890125 17779360 20446264 22224200 25557830 27780250 35558720 40892528 44448400 51115660 55560500 63894575 69450625 81785056 88896800 102231320 111121000 127789150 138901250 163570112 177793600 204462640 222242000 255578300 277802500 319472875 408925280 444484000 511156600 555605000 638945750 817850560 888968000 1022313200 1111210000 1277891500 1597364375 2044626400 2222420000 2555783000 3194728750 4089252800 4444840000 5111566000 6389457500 10223132000 12778915000 20446264000 25557830000 51115660000 102231320000