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211221210001038 = 231972232423330721
BaseRepresentation
bin110000000001101011000101…
…001100001110111010001110
31000200212112212021221010000020
4300001223011030032322032
5210141122014230013123
62025121403451043010
762330141326502646
oct6001530514167216
91020775767833006
10211221210001038
116133545957a136
121b834103a40466
1390b20c7c93373
143a23238137526
151964535c9c7e3
hexc01ac530ee8e

211221210001038 has 64 divisors (see below), whose sum is σ = 426668082204672. Its totient is φ = 69706558172160.

The previous prime is 211221210001037. The next prime is 211221210001049. The reversal of 211221210001038 is 830100012122112.

It is a happy number.

It is a super-2 number, since 2×2112212100010382 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211221210000999 and 211221210001017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221210001033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638503518 + ... + 638834238.

It is an arithmetic number, because the mean of its divisors is an integer number (6666688784448).

Almost surely, 2211221210001038 is an apocalyptic number.

211221210001038 is an abundant number, since it is smaller than the sum of its proper divisors (215446872203634).

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

211221210001038 is a wasteful number, since it uses less digits than its factorization.

211221210001038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333569.

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 211221210001038 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one thousand, thirty-eight".

Divisors: 1 2 3 6 197 223 394 446 591 669 1182 1338 2423 4846 7269 14538 43931 87862 131793 263586 330721 477331 540329 661442 954662 992163 1080658 1431993 1620987 1984326 2863986 3241974 65152037 73750783 106444813 130304074 147501566 195456111 212889626 221252349 319334439 390912222 442504698 638668878 801336983 1602673966 2404010949 4808021898 14528904251 29057808502 43586712753 87173425506 157863385651 178698147209 315726771302 357396294418 473590156953 536094441627 947180313906 1072188883254 35203535000173 70407070000346 105610605000519 211221210001038