Search a number
-
+
211210120001200 = 24527918191367427
BaseRepresentation
bin110000000001100000110000…
…001011001111011010110000
31000200211111020102010202012111
4300001200300023033122300
5210140431311210014300
62025112331205535104
762326266445164625
oct6001406013173260
91020744212122174
10211210120001200
1161330788560111
121b831b29a14494
1390b104b516b98
143a228a531a34c
1519640d73819ba
hexc018302cf6b0

211210120001200 has 120 divisors (see below), whose sum is σ = 513885153530880. Its totient is φ = 83409817171200.

The previous prime is 211210120001183. The next prime is 211210120001219. The reversal of 211210120001200 is 2100021012112.

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, 574651887 + ... + 575019313.

It is an arithmetic number, because the mean of its divisors is an integer number (4282376279424).

Almost surely, 2211210120001200 is an apocalyptic number.

211210120001200 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 211210120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256942576765440).

211210120001200 is an abundant number, since it is smaller than the sum of its proper divisors (302675033529680).

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

211210120001200 is a wasteful number, since it uses less digits than its factorization.

211210120001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385715 (or 385704 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211210120001200 its reverse (2100021012112), we get a palindrome (213310141013312).

The spelling of 211210120001200 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 790 1264 1580 1975 3160 3950 6320 7900 15800 18191 31600 36382 72764 90955 145528 181910 291056 363820 367427 454775 727640 734854 909550 1437089 1455280 1469708 1819100 1837135 2874178 2939416 3638200 3674270 5748356 5878832 7185445 7276400 7348540 9185675 11496712 14370890 14697080 18371350 22993424 28741780 29026733 29394160 35927225 36742700 57483560 58053466 71854450 73485400 114967120 116106932 143708900 145133665 146970800 232213864 287417800 290267330 464427728 574835600 580534660 725668325 1161069320 1451336650 2322138640 2902673300 5805346600 6683864557 11610693200 13367729114 26735458228 33419322785 53470916456 66838645570 106941832912 133677291140 167096613925 267354582280 334193227850 528025300003 534709164560 668386455700 1056050600006 1336772911400 2112101200012 2640126500015 2673545822800 4224202400024 5280253000030 8448404800048 10560506000060 13200632500075 21121012000120 26401265000150 42242024000240 52802530000300 105605060000600 211210120001200