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100321230030 = 23572327197639
BaseRepresentation
bin101110101101110011…
…1000111110011001110
3100120221120002112000020
41131123213013303032
53120424213330110
6114030440043010
710151024246130
oct1353347076316
9316846075006
10100321230030
113960079aa6a
1217539463466
1395ca231798
144bd999d050
15292253dd70
hex175b9c7cce

100321230030 has 128 divisors (see below), whose sum is σ = 287273779200. Its totient is φ = 21922648704.

The previous prime is 100321230017. The next prime is 100321230067. The reversal of 100321230030 is 30032123001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100321229991 and 100321230009.

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, 13128951 + ... + 13136589.

It is an arithmetic number, because the mean of its divisors is an integer number (2244326400).

Almost surely, 2100321230030 is an apocalyptic number.

100321230030 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 100321230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143636889600).

100321230030 is an abundant number, since it is smaller than the sum of its proper divisors (186952549170).

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

100321230030 is a wasteful number, since it uses less digits than its factorization.

100321230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398.

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

Adding to 100321230030 its reverse (30032123001), we get a palindrome (130353353031).

The spelling of 100321230030 in words is "one hundred billion, three hundred twenty-one million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 2719 4830 5438 7639 8157 13595 15278 16314 19033 22917 27190 38066 38195 40785 45834 53473 57099 62537 76390 81570 95165 106946 114198 114585 125074 160419 175697 187611 190330 229170 267365 285495 312685 320838 351394 375222 437759 527091 534730 570990 625370 802095 875518 878485 938055 1054182 1229879 1313277 1604190 1756970 1876110 2188795 2459758 2626554 2635455 3689637 4377590 5270910 6149395 6566385 7379274 12298790 13132770 18448185 20770441 36896370 41540882 62311323 103852205 124622646 145393087 207704410 290786174 311556615 436179261 477720143 623113230 726965435 872358522 955440286 1433160429 1453930870 2180896305 2388600715 2866320858 3344041001 4361792610 4777201430 6688082002 7165802145 10032123003 14331604290 16720205005 20064246006 33440410010 50160615015 100321230030