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212230320100040 = 2351116713992064527
BaseRepresentation
bin110000010000010110111000…
…110101110001001011001000
31000211110000112220121111221102
4300100112320311301023020
5210304140143421200130
62031213132454400532
762463064115016254
oct6020267065611310
91024400486544842
10212230320100040
1161694411955270
121b9777a8960148
13915630577a618
143a5a006455264
1519808e71dc645
hexc105b8d712c8

212230320100040 has 128 divisors (see below), whose sum is σ = 524423144448000. Its totient is φ = 76657667162880.

The previous prime is 212230320100039. The next prime is 212230320100129. The reversal of 212230320100040 is 40001023032212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212230320099985 and 212230320100021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101766257 + ... + 103830783.

It is an arithmetic number, because the mean of its divisors is an integer number (4097055816000).

Almost surely, 2212230320100040 is an apocalyptic number.

212230320100040 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 212230320100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262211572224000).

212230320100040 is an abundant number, since it is smaller than the sum of its proper divisors (312192824347960).

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

212230320100040 is a wasteful number, since it uses less digits than its factorization.

212230320100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066115 (or 2066111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212230320100040 its reverse (40001023032212), we get a palindrome (252231343132252).

The spelling of 212230320100040 in words is "two hundred twelve trillion, two hundred thirty billion, three hundred twenty million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1399 1670 1837 2798 3340 3674 5596 6680 6995 7348 9185 11192 13990 14696 15389 18370 27980 30778 36740 55960 61556 73480 76945 123112 153890 233633 307780 467266 615560 934532 1168165 1869064 2064527 2336330 2569963 4129054 4672660 5139926 8258108 9345320 10279852 10322635 12849815 16516216 20559704 20645270 22709797 25699630 41290540 45419594 51399260 82581080 90839188 102798520 113548985 181678376 227097970 344776009 454195940 689552018 908391880 1379104036 1723880045 2758208072 2888273273 3447760090 3792536099 5776546546 6895520180 7585072198 11553093092 13791040360 14441366365 15170144396 18962680495 23106186184 28882732730 30340288792 31771006003 37925360990 57765465460 63542012006 75850721980 115530930920 127084024012 151701443960 158855030015 254168048024 317710060030 482341636591 635420120060 964683273182 1270840240120 1929366546364 2411708182955 3858733092728 4823416365910 5305758002501 9646832731820 10611516005002 19293665463640 21223032010004 26528790012505 42446064020008 53057580025010 106115160050020 212230320100040