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201211301040 = 24352083402487
BaseRepresentation
bin1011101101100100100…
…0001100110010110000
3201020100202120011010220
42323121020030302300
511244040043113130
6232234000253040
720352126560631
oct2733110146260
9636322504126
10201211301040
1178373596642
1232bb5311180
1315c8826c459
149a4ad13888
155379993410
hex2ed920ccb0

201211301040 has 80 divisors (see below), whose sum is σ = 624056034048. Its totient is φ = 53630454528.

The previous prime is 201211301023. The next prime is 201211301041. The reversal of 201211301040 is 40103112102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (201211301041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298677 + ... + 701163.

Almost surely, 2201211301040 is an apocalyptic number.

201211301040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211301040 is an abundant number, since it is smaller than the sum of its proper divisors (422844733008).

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

201211301040 is a wasteful number, since it uses less digits than its factorization.

201211301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404586 (or 404580 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201211301040 its reverse (40103112102), we get a palindrome (241314413142).

The spelling of 201211301040 in words is "two hundred one billion, two hundred eleven million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2083 4166 6249 8332 10415 12498 16664 20830 24996 31245 33328 41660 49992 62490 83320 99984 124980 166640 249960 402487 499920 804974 1207461 1609948 2012435 2414922 3219896 4024870 4829844 6037305 6439792 8049740 9659688 12074610 16099480 19319376 24149220 32198960 48298440 96596880 838380421 1676760842 2515141263 3353521684 4191902105 5030282526 6707043368 8383804210 10060565052 12575706315 13414086736 16767608420 20121130104 25151412630 33535216840 40242260208 50302825260 67070433680 100605650520 201211301040