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230150142300 = 223521371831167
BaseRepresentation
bin1101011001011000000…
…1000111100101011100
3211000001120002121101110
43112112001013211130
512232321414023200
6253421324142020
722425222634341
oct3262601074534
9730046077343
10230150142300
1189673834381
1238730997910
131891a832b70
14b1d44507c8
155ec0359b50
hex359604795c

230150142300 has 144 divisors (see below), whose sum is σ = 727225454592. Its totient is φ = 55854355200.

The previous prime is 230150142293. The next prime is 230150142301. The reversal of 230150142300 is 3241051032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230150142301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138684 + ... + 692483.

It is an arithmetic number, because the mean of its divisors is an integer number (5050176768).

Almost surely, 2230150142300 is an apocalyptic number.

230150142300 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 230150142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363612727296).

230150142300 is an abundant number, since it is smaller than the sum of its proper divisors (497075312292).

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

230150142300 is a wasteful number, since it uses less digits than its factorization.

230150142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831268 (or 831261 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 230150142300 its reverse (3241051032), we get a palindrome (233391193332).

The spelling of 230150142300 in words is "two hundred thirty billion, one hundred fifty million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 71 75 78 100 130 142 150 156 195 213 260 284 300 325 355 390 426 650 710 780 852 923 975 1065 1300 1420 1775 1846 1950 2130 2769 3550 3692 3900 4260 4615 5325 5538 7100 9230 10650 11076 13845 18460 21300 23075 27690 46150 55380 69225 92300 138450 276900 831167 1662334 2493501 3324668 4155835 4987002 8311670 9974004 10805171 12467505 16623340 20779175 21610342 24935010 32415513 41558350 43220684 49870020 54025855 59012857 62337525 64831026 83116700 108051710 118025714 124675050 129662052 162077565 177038571 216103420 236051428 249350100 270129275 295064285 324155130 354077142 540258550 590128570 648310260 708154284 767167141 810387825 885192855 1080517100 1180257140 1475321425 1534334282 1620775650 1770385710 2301501423 2950642850 3068668564 3241551300 3540771420 3835835705 4425964275 4603002846 5901285700 7671671410 8851928550 9206005692 11507507115 15343342820 17703857100 19179178525 23015014230 38358357050 46030028460 57537535575 76716714100 115075071150 230150142300