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214012532300 = 22527267651881
BaseRepresentation
bin1100011101010000100…
…1000001011001001100
3202110101220100002011012
43013110021001121030
512001244202013200
6242152131144352
721314300336600
oct3072411013114
9673356302135
10214012532300
118284254a106
12355884450b8
13172483c83c8
14a5030db500
155878730a35
hex31d424164c

214012532300 has 108 divisors (see below), whose sum is σ = 548292735144. Its totient is φ = 72280454400.

The previous prime is 214012532269. The next prime is 214012532351. The reversal of 214012532300 is 3235210412.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2360 + ... + 654240.

Almost surely, 2214012532300 is an apocalyptic number.

214012532300 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 214012532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274146367572).

214012532300 is an abundant number, since it is smaller than the sum of its proper divisors (334280202844).

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

214012532300 is a wasteful number, since it uses less digits than its factorization.

214012532300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651976 (or 651962 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 214012532300 its reverse (3235210412), we get a palindrome (217247742712).

The spelling of 214012532300 in words is "two hundred fourteen billion, twelve million, five hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 67 70 98 100 134 140 175 196 245 268 335 350 469 490 670 700 938 980 1225 1340 1675 1876 2345 2450 3283 3350 4690 4900 6566 6700 9380 11725 13132 16415 23450 32830 46900 65660 82075 164150 328300 651881 1303762 2607524 3259405 4563167 6518810 9126334 13037620 16297025 18252668 22815835 31942169 32594050 43676027 45631670 63884338 65188100 87352054 91263340 114079175 127768676 159710845 174704108 218380135 228158350 305732189 319421690 436760270 456316700 611464378 638843380 798554225 873520540 1091900675 1222928756 1528660945 1597108450 2140125323 2183801350 3057321890 3194216900 4280250646 4367602700 6114643780 7643304725 8560501292 10700626615 15286609450 21401253230 30573218900 42802506460 53503133075 107006266150 214012532300