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211421212040 = 235241138115881
BaseRepresentation
bin1100010011100110101…
…1111010110110001000
3202012201022022101000202
43010321223322312020
511430442312241130
6241043042151332
721163133436203
oct3047153726610
9665638271022
10211421212040
1181732842915
1234b84652548
1316c245a40cc
14a338cb893a
155775eb7145
hex3139afad88

211421212040 has 64 divisors (see below), whose sum is σ = 478047564720. Its totient is φ = 84151296000.

The previous prime is 211421212033. The next prime is 211421212043. The reversal of 211421212040 is 40212124112.

It can be written as a sum of positive squares in 8 ways, for example, as 166051360036 + 45369852004 = 407494^2 + 213002^2 .

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 (211421212043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13304900 + ... + 13320780.

Almost surely, 2211421212040 is an apocalyptic number.

211421212040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211421212040 is an abundant number, since it is smaller than the sum of its proper divisors (266626352680).

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

211421212040 is a wasteful number, since it uses less digits than its factorization.

211421212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17514 (or 17510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211421212040 its reverse (40212124112), we get a palindrome (251633336152).

The spelling of 211421212040 in words is "two hundred eleven billion, four hundred twenty-one million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1381 1928 2410 2762 4820 5524 6905 9640 11048 13810 15881 27620 31762 55240 63524 79405 127048 158810 317620 332821 635240 665642 1331284 1664105 2662568 3328210 3827321 6656420 7654642 13312840 15309284 19136605 21931661 30618568 38273210 43863322 76546420 87726644 109658305 153092840 175453288 219316610 438633220 877266440 5285530301 10571060602 21142121204 26427651505 42284242408 52855303010 105710606020 211421212040