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233101020020 = 2251117325723831
BaseRepresentation
bin1101100100010111100…
…1110100101101110100
3211021200012200201121212
43121011321310231310
512304342330120040
6255030215500552
722561313656361
oct3310571645564
9737605621555
10233101020020
118a9484a34a0
1239215087758
1318c9aca865b
14b3d430b468
1560e4448d65
hex3645e74b74

233101020020 has 96 divisors (see below), whose sum is σ = 539212536576. Its totient is φ = 83942604800.

The previous prime is 233101020001. The next prime is 233101020029. The reversal of 233101020020 is 20020101332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233101019977 and 233101020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233101020029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9769505 + ... + 9793335.

It is an arithmetic number, because the mean of its divisors is an integer number (5616797256).

Almost surely, 2233101020020 is an apocalyptic number.

233101020020 is a gapful number since it is divisible by the number (20) 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 233101020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269606268288).

233101020020 is an abundant number, since it is smaller than the sum of its proper divisors (306111516556).

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

233101020020 is a wasteful number, since it uses less digits than its factorization.

233101020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24281 (or 24279 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 233101020020 its reverse (20020101332), we get a palindrome (253121121352).

The spelling of 233101020020 in words is "two hundred thirty-three billion, one hundred one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 257 346 514 692 865 1028 1285 1730 1903 2570 2827 3460 3806 5140 5654 7612 9515 11308 14135 19030 23831 28270 38060 44461 47662 56540 88922 95324 119155 177844 222305 238310 262141 444610 476620 489071 524282 889220 978142 1048564 1310705 1956284 2445355 2621410 4122763 4890710 5242820 6124567 8245526 9781420 12249134 16491052 20613815 24498268 30622835 41227630 45350393 61245670 67370237 82455260 90700786 122491340 134740474 181401572 226751965 269480948 336851185 453503930 673702370 907007860 1059550091 1347404740 2119100182 4238200364 5297750455 10595500910 11655051001 21191001820 23310102002 46620204004 58275255005 116550510010 233101020020