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101100031230 = 235113167147503
BaseRepresentation
bin101111000101000001…
…0000000110011111110
3100122221211112201102010
41132022002000303332
53124023101444410
6114240020312050
710206232041432
oct1361202006376
9318854481363
10101100031230
1139970371920
1217716242626
1396c26a16b3
144c711aa9c2
15296aac9c20
hex178a080cfe

101100031230 has 128 divisors (see below), whose sum is σ = 277316960256. Its totient is φ = 23364316800.

The previous prime is 101100031229. The next prime is 101100031267. The reversal of 101100031230 is 32130001101.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 611659 + ... + 759161.

It is an arithmetic number, because the mean of its divisors is an integer number (2166538752).

Almost surely, 2101100031230 is an apocalyptic number.

101100031230 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 101100031230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138658480128).

101100031230 is an abundant number, since it is smaller than the sum of its proper divisors (176216929026).

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

101100031230 is a wasteful number, since it uses less digits than its factorization.

101100031230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147622.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101100031230 its reverse (32130001101), we get a palindrome (133230032331).

The spelling of 101100031230 in words is "one hundred one billion, one hundred million, thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 67 93 110 134 155 165 186 201 310 330 335 341 402 465 670 682 737 930 1005 1023 1474 1705 2010 2046 2077 2211 3410 3685 4154 4422 5115 6231 7370 10230 10385 11055 12462 20770 22110 22847 31155 45694 62310 68541 114235 137082 147503 228470 295006 342705 442509 685410 737515 885018 1475030 1622533 2212545 3245066 4425090 4572593 4867599 8112665 9145186 9735198 9882701 13717779 16225330 19765402 22862965 24337995 27435558 29648103 45725930 48675990 49413505 50298523 59296206 68588895 98827010 100597046 108709711 137177790 148240515 150895569 217419422 251492615 296481030 301791138 306363731 326129133 502985230 543548555 612727462 652258266 754477845 919091193 1087097110 1508955690 1531818655 1630645665 1838182386 3063637310 3261291330 3370001041 4595455965 6740002082 9190911930 10110003123 16850005205 20220006246 33700010410 50550015615 101100031230