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20202121201122 = 23272374115098813
BaseRepresentation
bin1001001011111101011000…
…10000100000010111100010
32122112022012120011101001200
410211332230100200113202
510121442421011413442
6110544420520542030
74153361252623500
oct445765420402742
978468176141050
1020202121201122
116489742828013
122323381621916
13b37089c04ab3
144dbb05d47670
1525078465e34c
hex125fac4205e2

20202121201122 has 144 divisors (see below), whose sum is σ = 53569202981112. Its totient is φ = 5479056898560.

The previous prime is 20202121201099. The next prime is 20202121201147. The reversal of 20202121201122 is 22110212120202.

It is a happy number.

20202121201122 is a `hidden beast` number, since 20 + 202 + 121 + 201 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9188955506241 + 11013165694881 = 3031329^2 + 3318609^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20202121201095 and 20202121201104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6211413 + ... + 8887400.

Almost surely, 220202121201122 is an apocalyptic number.

20202121201122 is an abundant number, since it is smaller than the sum of its proper divisors (33367081779990).

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

20202121201122 is a wasteful number, since it uses less digits than its factorization.

20202121201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15098913 (or 15098903 counting only the distinct ones).

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

Adding to 20202121201122 its reverse (22110212120202), we get a palindrome (42312333321324).

The spelling of 20202121201122 in words is "twenty trillion, two hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 41 42 49 63 74 82 98 111 123 126 147 222 246 259 287 294 333 369 441 518 574 666 738 777 861 882 1517 1554 1722 1813 2009 2331 2583 3034 3626 4018 4551 4662 5166 5439 6027 9102 10619 10878 12054 13653 16317 18081 21238 27306 31857 32634 36162 63714 74333 95571 148666 191142 222999 445998 668997 1337994 15098813 30197626 45296439 90592878 105691691 135889317 211383382 271778634 317075073 558656081 619051333 634150146 739841837 951225219 1117312162 1238102666 1479683674 1675968243 1857153999 1902450438 2219525511 3351936486 3714307998 3910592567 4333359331 4439051022 5027904729 5571461997 6658576533 7821185134 8666718662 10055809458 11142923994 11731777701 13000077993 13317153066 22904899321 23463555402 26000155986 27374147969 30333515317 35195333103 39000233979 45809798642 54748295938 60667030634 68714697963 70390666206 78000467958 82122443907 91000545951 137429395926 160334295247 164244887814 182001091902 206144093889 246367331721 273001637853 320668590494 412288187778 481002885741 492734663442 546003275706 962005771482 1122340066729 1443008657223 2244680133458 2886017314446 3367020200187 6734040400374 10101060600561 20202121201122