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230312100310200 = 233252442328928593
BaseRepresentation
bin110100010111011110110110…
…111011010010110010111000
31010012110121210021010021212200
4310113132312323102302320
5220141413140134411300
62133455530201310200
766340333355616606
oct6427366673226270
91105417707107780
10230312100310200
11674258a4445867
12219b8040495360
139b684513b329c
1440c32451a2876
151b95e2d9ae200
hexd177b6ed2cb8

230312100310200 has 144 divisors (see below), whose sum is σ = 773639703629520. Its totient is φ = 61402672235520.

The previous prime is 230312100310189. The next prime is 230312100310219. The reversal of 230312100310200 is 2013001213032.

230312100310200 is a `hidden beast` number, since 2 + 30 + 3 + 121 + 0 + 0 + 310 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6502897 + ... + 22425696.

Almost surely, 2230312100310200 is an apocalyptic number.

230312100310200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230312100310200 is an abundant number, since it is smaller than the sum of its proper divisors (543327603319320).

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

230312100310200 is a wasteful number, since it uses less digits than its factorization.

230312100310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28933038 (or 28933026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230312100310200 its reverse (2013001213032), we get a palindrome (232325101523232).

The spelling of 230312100310200 in words is "two hundred thirty trillion, three hundred twelve billion, one hundred million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 4423 8846 13269 17692 22115 26538 35384 39807 44230 53076 66345 79614 88460 106152 110575 132690 159228 176920 199035 221150 265380 318456 331725 398070 442300 530760 663450 796140 884600 995175 1326900 1592280 1990350 2653800 3980700 7961400 28928593 57857186 86785779 115714372 144642965 173571558 231428744 260357337 289285930 347143116 433928895 520714674 578571860 694286232 723214825 867857790 1041429348 1157143720 1301786685 1446429650 1735715580 2082858696 2169644475 2603573370 2892859300 3471431160 4339288950 5207146740 5785718600 6508933425 8678577900 10414293480 13017866850 17357155800 26035733700 52071467400 127951166839 255902333678 383853500517 511804667356 639755834195 767707001034 1023609334712 1151560501551 1279511668390 1535414002068 1919267502585 2303121003102 2559023336780 3070828004136 3198779170975 3838535005170 4606242006204 5118046673560 5757802507755 6397558341950 7677070010340 9212484012408 9596337512925 11515605015510 12795116683900 15354140020680 19192675025850 23031210031020 25590233367800 28789012538775 38385350051700 46062420062040 57578025077550 76770700103400 115156050155100 230312100310200