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230002123031200 = 255213220310038851
BaseRepresentation
bin110100010010111110001010…
…110101110100001010100000
31010011100222200102011222100201
4310102332022311310022200
5220121323321443444300
62133101303332354544
766306051010333252
oct6422761265641240
91104328612158321
10230002123031200
1167316397343143
1221967b51775a54
139b451514c0cc0
1440b223ad33cd2
151b8cd3a42e66a
hexd12f8ad742a0

230002123031200 has 144 divisors (see below), whose sum is σ = 604958970210336. Its totient is φ = 84885303168000.

The previous prime is 230002123031167. The next prime is 230002123031227. The reversal of 230002123031200 is 2130321200032.

It is a super-2 number, since 2×2300021230312002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17891775 + ... + 27930625.

It is an arithmetic number, because the mean of its divisors is an integer number (4201103959794).

Almost surely, 2230002123031200 is an apocalyptic number.

230002123031200 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 230002123031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302479485105168).

230002123031200 is an abundant number, since it is smaller than the sum of its proper divisors (374956847179136).

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

230002123031200 is a wasteful number, since it uses less digits than its factorization.

230002123031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041087 (or 10041074 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 230002123031200 its reverse (2130321200032), we get a palindrome (232132444231232).

The spelling of 230002123031200 in words is "two hundred thirty trillion, two billion, one hundred twenty-three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2203 2600 4406 5200 8812 10400 11015 17624 22030 28639 35248 44060 55075 57278 70496 88120 110150 114556 143195 176240 220300 229112 286390 352480 440600 458224 572780 715975 881200 916448 1145560 1431950 1762400 2291120 2863900 4582240 5727800 10038851 11455600 20077702 22911200 40155404 50194255 80310808 100388510 130505063 160621616 200777020 250971275 261010126 321243232 401554040 501942550 522020252 652525315 803108080 1003885100 1044040504 1305050630 1606216160 2007770200 2088081008 2610101260 3262626575 4015540400 4176162016 5220202520 6525253150 8031080800 10440405040 13050506300 20880810080 22115588753 26101012600 44231177506 52202025200 88462355012 104404050400 110577943765 176924710024 221155887530 287502653789 353849420048 442311775060 552889718825 575005307578 707698840096 884623550120 1105779437650 1150010615156 1437513268945 1769247100240 2211558875300 2300021230312 2875026537890 3538494200480 4423117750600 4600042460624 5750053075780 7187566344725 8846235501200 9200084921248 11500106151560 14375132689450 17692471002400 23000212303120 28750265378900 46000424606240 57500530757800 115001061515600 230002123031200