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10314230122100 = 2252978271285759
BaseRepresentation
bin1001011000010111100000…
…0001011100011001110100
31100112000211102122101022202
42112011320001130121310
52322442020402401400
633534143015044032
72113115144330252
oct226057001343164
940460742571282
1010314230122100
113317271015703
1211a6b72970618
1359a821168a08
142792d612b5d2
1512d46ba3e4d5
hex9617805c674

10314230122100 has 72 divisors (see below), whose sum is σ = 22639980948480. Its totient is φ = 4078218654720.

The previous prime is 10314230122093. The next prime is 10314230122109. The reversal of 10314230122100 is 122103241301.

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 (10314230122109) 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 23 ways as a sum of consecutive naturals, for example, 7379021 + ... + 8664779.

It is an arithmetic number, because the mean of its divisors is an integer number (314444179840).

Almost surely, 210314230122100 is an apocalyptic number.

10314230122100 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 10314230122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11319990474240).

10314230122100 is an abundant number, since it is smaller than the sum of its proper divisors (12325750826380).

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

10314230122100 is a wasteful number, since it uses less digits than its factorization.

10314230122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286697 (or 1286690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10314230122100 its reverse (122103241301), we get a palindrome (10436333363401).

The spelling of 10314230122100 in words is "ten trillion, three hundred fourteen billion, two hundred thirty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 827 970 1654 1940 2425 3308 4135 4850 8270 9700 16540 20675 41350 80219 82700 160438 320876 401095 802190 1285759 1604380 2005475 2571518 4010950 5143036 6428795 8021900 12857590 25715180 32143975 64287950 124718623 128575900 249437246 498874492 623593115 1063322693 1247186230 2126645386 2494372460 3117965575 4253290772 5316613465 6235931150 10633226930 12471862300 21266453860 26583067325 53166134650 103142301221 106332269300 206284602442 412569204884 515711506105 1031423012210 2062846024420 2578557530525 5157115061050 10314230122100