Search a number
-
+
20001222222201 = 32112337715133199
BaseRepresentation
bin1001000110000111001011…
…01111101110000101111001
32121211002122120021211022200
410203003211233232011321
510110200000342102301
6110312233514340413
74133016634522623
oct443034557560571
977732576254280
1020001222222201
11641151a571730
1222b0454a2a709
13b21151588c3c
144d20c86d3c13
1524a427310c86
hex1230e5bee179

20001222222201 has 96 divisors (see below), whose sum is σ = 33781974220800. Its totient is φ = 11279618064000.

The previous prime is 20001222222181. The next prime is 20001222222209. The reversal of 20001222222201 is 10222222210002.

20001222222201 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 222 + 222 + 201 = 666.

It is not a de Polignac number, because 20001222222201 - 219 = 20001221697913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20001222222209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 602448000 + ... + 602481198.

It is an arithmetic number, because the mean of its divisors is an integer number (351895564800).

Almost surely, 220001222222201 is an apocalyptic number.

It is an amenable number.

20001222222201 is a deficient number, since it is larger than the sum of its proper divisors (13780751998599).

20001222222201 is a wasteful number, since it uses less digits than its factorization.

20001222222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40427 (or 40424 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20001222222201 its reverse (10222222210002), we get a palindrome (30223444432203).

The spelling of 20001222222201 in words is "twenty trillion, one billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 23 33 37 69 99 111 207 253 333 407 759 851 1221 2277 2553 3663 7151 7659 9361 21453 28083 33199 64359 78661 84249 99597 164473 235983 264587 298791 365189 493419 707949 763577 793761 1095567 1228363 1480257 1809203 2290731 2381283 2910457 3286701 3685089 5427609 6085501 6872193 8399347 8731371 11055267 13511993 16282827 18256503 25198041 26194113 28252349 40535979 54769509 66940511 75594123 84757047 121607937 200821533 237406049 254271141 310775839 602464599 712218147 932327517 2136654441 2611466539 2796982551 5460339127 7834399617 8784023813 16381017381 23503198851 26352071439 49143052143 60063730397 79056214317 96624261943 180191191191 202032547699 289872785829 540573573573 606097643097 869618357487 1818292929291 2222358024689 6667074074067 20001222222201