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21121220222010 = 2345291327677587
BaseRepresentation
bin1001100110101101010101…
…10101000001110000111010
32202210011120011010020120000
410303112222311001300322
510232022224334101020
6112530542110413430
74306646345453616
oct463265265016072
982704504106500
1021121220222010
116803506205997
122451525b01276
13ba29514bb59c
145303b5ac2346
15269628785090
hex1335aad41c3a

21121220222010 has 160 divisors (see below), whose sum is σ = 58795340693760. Its totient is φ = 5434001209728.

The previous prime is 21121220222009. The next prime is 21121220222017. The reversal of 21121220222010 is 1022202212112.

It is a happy number.

21121220222010 is a `hidden beast` number, since 21 + 1 + 212 + 202 + 220 + 10 = 666.

It is a super-2 number, since 2×211212202220102 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21121220222017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30832437 + ... + 31510023.

It is an arithmetic number, because the mean of its divisors is an integer number (367470879336).

Almost surely, 221121220222010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121220222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29397670346880).

21121220222010 is an abundant number, since it is smaller than the sum of its proper divisors (37674120471750).

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

21121220222010 is a wasteful number, since it uses less digits than its factorization.

21121220222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678962 (or 678953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21121220222010 its reverse (1022202212112), we get a palindrome (22143422434122).

The spelling of 21121220222010 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1327 1566 2349 2610 2654 3915 3981 4698 6635 7830 7962 11745 11943 13270 19905 23490 23886 35829 38483 39810 59715 71658 76966 107487 115449 119430 179145 192415 214974 230898 346347 358290 384830 537435 577245 677587 692694 1039041 1074870 1154490 1355174 1731735 2032761 2078082 3117123 3387935 3463470 4065522 5195205 6098283 6234246 6775870 10163805 10390410 12196566 15585615 18294849 19650023 20327610 30491415 31171230 36589698 39300046 54884547 58950069 60982830 91474245 98250115 109769094 117900138 176850207 182948490 196500230 274422735 294750345 353700414 530550621 548845470 589500690 884251035 899157949 1061101242 1591651863 1768502070 1798315898 2652753105 2697473847 3183303726 4495789745 5305506210 5394947694 7958259315 8092421541 8991579490 13487369235 15916518630 16184843082 24277264623 26075580521 26974738470 40462107705 48554529246 52151161042 72831793869 78226741563 80924215410 121386323115 130377902605 145663587738 156453483126 234680224689 242772646230 260755805210 364158969345 391133707815 469360449378 704040674067 728317938690 782267415630 1173401123445 1408081348134 2112122022201 2346802246890 3520203370335 4224244044402 7040406740670 10560610111005 21121220222010