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201022111212 = 223132473496043
BaseRepresentation
bin1011101100110111011…
…0011111110111101100
3201012212120120022111020
42323031312133313230
511243143130024322
6232203121254140
720344341516036
oct2731566376754
9635776508436
10201022111212
117828681750a
1232b61a94350
1315c57ccb700
149a2db46c56
15536807205c
hex2ecdd9fdec

201022111212 has 144 divisors (see below), whose sum is σ = 520286860800. Its totient is φ = 60353489664.

The previous prime is 201022111159. The next prime is 201022111253. The reversal of 201022111212 is 212111220102.

It is a super-2 number, since 2×2010221112122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201022111191 and 201022111200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33262263 + ... + 33268305.

It is an arithmetic number, because the mean of its divisors is an integer number (3613103200).

Almost surely, 2201022111212 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 201022111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260143430400).

201022111212 is an abundant number, since it is smaller than the sum of its proper divisors (319264749588).

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

201022111212 is a wasteful number, since it uses less digits than its factorization.

201022111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201022111212 its reverse (212111220102), we get a palindrome (413133331314).

The spelling of 201022111212 in words is "two hundred one billion, twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 169 188 282 338 349 507 564 611 676 698 1014 1047 1222 1396 1833 2028 2094 2444 3666 4188 4537 6043 7332 7943 9074 12086 13611 15886 16403 18129 18148 23829 24172 27222 31772 32806 36258 47658 49209 54444 58981 65612 72516 78559 95316 98418 117962 157118 176943 196836 213239 235677 235924 284021 314236 353886 426478 471354 568042 639717 707772 852063 852956 942708 1021267 1136084 1279434 1704126 2042534 2109007 2558868 2772107 3063801 3408252 3692273 4085068 4218014 5544214 6127602 6327021 7384546 8316321 8436028 11076819 11088428 12255204 12654042 14769092 16632642 22153638 25308084 27417091 33265284 44307276 47999549 54834182 82251273 95999098 99123329 109668364 143998647 164502546 191998196 198246658 287997294 297369987 329005092 356422183 396493316 575994588 594739974 712844366 1069266549 1189479948 1288603277 1425688732 2138533098 2577206554 3865809831 4277066196 5154413108 7731619662 15463239324 16751842601 33503685202 50255527803 67007370404 100511055606 201022111212