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212211311240 = 23541129397141
BaseRepresentation
bin1100010110100011000…
…1111010001010001000
3202021202101000120101002
43011220301322022020
511434102043424430
6241253304514132
721221536245335
oct3055061721210
9667671016332
10212211311240
1181aa8831065
123516517b948
131701c19b626
14a3b1bc798c
1557c0535845
hex3168c7a288

212211311240 has 32 divisors (see below), whose sum is σ = 489121196760. Its totient is φ = 82814169600.

The previous prime is 212211311237. The next prime is 212211311243. The reversal of 212211311240 is 42113112212.

It is an interprime number because it is at equal distance from previous prime (212211311237) and next prime (212211311243).

It can be written as a sum of positive squares in 4 ways, for example, as 171941256964 + 40270054276 = 414658^2 + 200674^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212211311243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64696931 + ... + 64700210.

Almost surely, 2212211311240 is an apocalyptic number.

212211311240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211311240 is an abundant number, since it is smaller than the sum of its proper divisors (276909885520).

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

212211311240 is a wasteful number, since it uses less digits than its factorization.

212211311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129397193 (or 129397189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212211311240 its reverse (42113112212), we get a palindrome (254324423452).

The spelling of 212211311240 in words is "two hundred twelve billion, two hundred eleven million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 129397141 258794282 517588564 646985705 1035177128 1293971410 2587942820 5175885640 5305282781 10610565562 21221131124 26526413905 42442262248 53052827810 106105655620 212211311240