Search a number
-
+
3331022102320 = 2451141760312143
BaseRepresentation
bin110000011110010000011…
…000111001111100110000
3102210102221122202101100211
4300132100120321330300
5414033413124233240
611030130031553504
7462441555462433
oct60362030717460
912712848671324
103331022102320
111074751156670
124596a868b894
131b21636cc073
14b731810581a
155b9aa626bea
hex30790639f30

3331022102320 has 160 divisors (see below), whose sum is σ = 8656599942144. Its totient is φ = 1181484595200.

The previous prime is 3331022102263. The next prime is 3331022102339. The reversal of 3331022102320 is 232012201333.

It is a super-2 number, since 2×33310221023202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3331022102291 and 3331022102300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274310169 + ... + 274322311.

Almost surely, 23331022102320 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 3331022102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328299971072).

3331022102320 is an abundant number, since it is smaller than the sum of its proper divisors (5325577839824).

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

3331022102320 is a wasteful number, since it uses less digits than its factorization.

3331022102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19811 (or 19805 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3331022102320 its reverse (232012201333), we get a palindrome (3563034303653).

The spelling of 3331022102320 in words is "three trillion, three hundred thirty-one billion, twenty-two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 7603 9020 12143 15206 18040 24286 30412 36080 38015 48572 60715 60824 76030 83633 97144 121430 121648 133573 152060 167266 194288 242860 267146 304120 311723 334532 418165 485720 497863 534292 608240 623446 667865 669064 836330 971440 995726 1068584 1246892 1335730 1338128 1558615 1672660 1991452 2137168 2489315 2493784 2671460 3117230 3345320 3428953 3982904 4978630 4987568 5342920 5476493 6234460 6690640 6857906 7965808 9957260 10685840 10952986 12468920 13715812 17144765 19914520 21905972 24937840 27382465 27431624 34289530 39829040 43811944 54764930 54863248 68579060 87623888 92323229 109529860 137158120 184646458 219059720 274316240 369292916 438119440 461616145 738585832 923232290 1015555519 1477171664 1846464580 2031111038 3692929160 3785252389 4062222076 5077777595 7385858320 7570504778 8124444152 10155555190 15141009556 16248888304 18926261945 20311110380 30282019112 37852523890 40622220760 41637776279 60564038224 75705047780 81244441520 83275552558 151410095560 166551105116 208188881395 302820191120 333102210232 416377762790 666204420464 832755525580 1665511051160 3331022102320