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102021320000 = 26547135923
BaseRepresentation
bin101111100000011110…
…0011100110101000000
3100202100001010001000102
41133000330130311000
53132414424220000
6114511250541532
710241116624505
oct1370074346500
9322301101012
10102021320000
113a2a34147a6
12179328978a8
13980b50cc92
144d1b6a94ac
1529c190e3d5
hex17c0f1cd40

102021320000 has 140 divisors (see below), whose sum is σ = 256549952736. Its totient is φ = 40232640000.

The previous prime is 102021319997. The next prime is 102021320003. The reversal of 102021320000 is 23120201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102021319997) and next prime (102021320003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2822039 + ... + 2857961.

Almost surely, 2102021320000 is an apocalyptic number.

102021320000 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 102021320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128274976368).

102021320000 is an abundant number, since it is smaller than the sum of its proper divisors (154528632736).

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

102021320000 is an frugal number, since it uses more digits than its factorization.

102021320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36026 (or 36001 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 102021320000 its reverse (23120201), we get a palindrome (102044440201).

The spelling of 102021320000 in words is "one hundred two billion, twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 625 710 800 1000 1136 1250 1420 1600 1775 2000 2272 2500 2840 3550 4000 4544 5000 5680 7100 8000 8875 10000 11360 14200 17750 20000 22720 28400 35500 35923 40000 44375 56800 71000 71846 88750 113600 142000 143692 177500 179615 284000 287384 355000 359230 568000 574768 710000 718460 898075 1149536 1420000 1436920 1796150 2299072 2550533 2840000 2873840 3592300 4490375 5101066 5747680 7184600 8980750 10202132 11495360 12752665 14369200 17961500 20404264 22451875 25505330 28738400 35923000 40808528 44903750 51010660 57476800 63763325 71846000 81617056 89807500 102021320 127526650 143692000 163234112 179615000 204042640 255053300 287384000 318816625 359230000 408085280 510106600 637633250 718460000 816170560 1020213200 1275266500 1436920000 1594083125 2040426400 2550533000 3188166250 4080852800 5101066000 6376332500 10202132000 12752665000 20404264000 25505330000 51010660000 102021320000