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1230102320100 = 2235243769124001
BaseRepresentation
bin10001111001100111110…
…011111101001111100100
311100121002221112102010220
4101321213303331033210
5130123222143220400
62341033505444340
7154605040126143
oct21714763751744
94317087472126
101230102320100
11434757766795
1217a49a9406b0
138bcc8c26634
14437743a975a
1521ee77c67a0
hex11e67cfd3e4

1230102320100 has 144 divisors (see below), whose sum is σ = 3646630975680. Its totient is φ = 319979520000.

The previous prime is 1230102320063. The next prime is 1230102320147. The reversal of 1230102320100 is 10232010321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230102320100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9858100 + ... + 9982100.

It is an arithmetic number, because the mean of its divisors is an integer number (25323826220).

Almost surely, 21230102320100 is an apocalyptic number.

1230102320100 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 1230102320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823315487840).

1230102320100 is an abundant number, since it is smaller than the sum of its proper divisors (2416528655580).

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

1230102320100 is a wasteful number, since it uses less digits than its factorization.

1230102320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124830 (or 124823 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1230102320100 its reverse (10232010321), we get a palindrome (1240334330421).

The spelling of 1230102320100 in words is "one trillion, two hundred thirty billion, one hundred two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 769 860 1075 1290 1538 2150 2307 2580 3076 3225 3845 4300 4614 6450 7690 9228 11535 12900 15380 19225 23070 33067 38450 46140 57675 66134 76900 99201 115350 124001 132268 165335 198402 230700 248002 330670 372003 396804 496004 496005 620005 661340 744006 826675 992010 1240010 1488012 1653350 1860015 1984020 2480020 2480025 3100025 3306700 3720030 4960050 5332043 6200050 7440060 9300075 9920100 10664086 12400100 15996129 18600150 21328172 26660215 31992258 37200300 53320430 63984516 79980645 95356769 106640860 133301075 159961290 190713538 266602150 286070307 319922580 381427076 399903225 476783845 533204300 572140614 799806450 953567690 1144281228 1430351535 1599612900 1907135380 2383919225 2860703070 4100341067 4767838450 5721406140 7151757675 8200682134 9535676900 12301023201 14303515350 16401364268 20501705335 24602046402 28607030700 41003410670 49204092804 61505116005 82006821340 102508526675 123010232010 205017053350 246020464020 307525580025 410034106700 615051160050 1230102320100