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101320032030 = 23573182318911
BaseRepresentation
bin101111001011100100…
…1001111111100011110
3100200112011111220202220
41132113021033330132
53130000412011110
6114313515530210
710214543030250
oct1362711177436
9320464456686
10101320032030
1139a73575768
1217777a59966
13972913c599
144c924b7cd0
152980085370
hex179724ff1e

101320032030 has 128 divisors (see below), whose sum is σ = 287234850816. Its totient is φ = 22383388800.

The previous prime is 101320032019. The next prime is 101320032043. The reversal of 101320032030 is 30230023101.

101320032030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5348275 + ... + 5367185.

It is an arithmetic number, because the mean of its divisors is an integer number (2244022272).

Almost surely, 2101320032030 is an apocalyptic number.

101320032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143617425408).

101320032030 is an abundant number, since it is smaller than the sum of its proper divisors (185914818786).

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

101320032030 is a wasteful number, since it uses less digits than its factorization.

101320032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19782.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 101320032030 its reverse (30230023101), we get a palindrome (131550055131).

The spelling of 101320032030 in words is "one hundred one billion, three hundred twenty million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 823 930 1085 1302 1646 2170 2469 3255 4115 4938 5761 6510 8230 11522 12345 17283 18911 24690 25513 28805 34566 37822 51026 56733 57610 76539 86415 94555 113466 127565 132377 153078 172830 178591 189110 255130 264754 283665 357182 382695 397131 535773 567330 586241 661885 765390 794262 892955 1071546 1172482 1323770 1758723 1785910 1985655 2678865 2931205 3517446 3971310 4103687 5357730 5862410 8207374 8793615 12311061 15563753 17587230 20518435 24622122 31127506 41036870 46691259 61555305 77818765 93382518 108946271 123110610 155637530 217892542 233456295 326838813 466912590 482476343 544731355 653677626 964952686 1089462710 1447429029 1634194065 2412381715 2894858058 3268388130 3377334401 4824763430 6754668802 7237145145 10132003203 14474290290 16886672005 20264006406 33773344010 50660016015 101320032030