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212021103132 = 22321719163111863
BaseRepresentation
bin1100010101110101110…
…0010100101000011100
3202021021010002222220100
43011131130110220130
511433204400300012
6241222352021100
721214036432626
oct3053534245034
9667233088810
10212021103132
1181a10426983
1235111531790
1316cbb962257
14a394833c16
1557ad9b28dc
hex315d714a1c

212021103132 has 144 divisors (see below), whose sum is σ = 601005000960. Its totient is φ = 62628401664.

The previous prime is 212021103127. The next prime is 212021103137. The reversal of 212021103132 is 231301120212.

It is an interprime number because it is at equal distance from previous prime (212021103127) and next prime (212021103137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021103137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839433 + ... + 1951295.

It is an arithmetic number, because the mean of its divisors is an integer number (4173645840).

Almost surely, 2212021103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300502500480).

212021103132 is an abundant number, since it is smaller than the sum of its proper divisors (388983897828).

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

212021103132 is a wasteful number, since it uses less digits than its factorization.

212021103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112072 (or 112067 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212021103132 its reverse (231301120212), we get a palindrome (443322223344).

The spelling of 212021103132 in words is "two hundred twelve billion, twenty-one million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 163 171 204 228 306 323 326 342 489 612 646 652 684 969 978 1292 1467 1938 1956 2771 2907 2934 3097 3876 5542 5814 5868 6194 8313 9291 11084 11628 12388 16626 18582 24939 27873 33252 37164 49878 52649 55746 99756 105298 111492 111863 157947 210596 223726 315894 335589 447452 473841 631788 671178 947682 1006767 1342356 1895364 1901671 2013534 2125397 3803342 4027068 4250794 5705013 6376191 7606684 8501588 11410026 12752382 17115039 18233669 19128573 22820052 25504764 34230078 36131749 36467338 38257146 54701007 68460156 72263498 72934676 76514292 108395247 109402014 144526996 164103021 216790494 218804028 309972373 325185741 328206042 346439711 433580988 619944746 650371482 656412084 692879422 929917119 1039319133 1239889492 1300742964 1385758844 1859834238 2078638266 2789751357 3117957399 3719668476 4157276532 5579502714 5889475087 6235914798 11159005428 11778950174 12471829596 17668425261 23557900348 35336850522 53005275783 70673701044 106010551566 212021103132