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2121020021970 = 234511323172949
BaseRepresentation
bin11110110111010110101…
…001010001110011010010
321111202201112100221120000
4132313112221101303102
5234222322111200340
64302214432030430
7306144565501323
oct36672651216322
97452645327500
102121020021970
11748579564573
122a3099392416
1312501bb79025
147492d47644a
153a28c7bbd30
hex1edd6a51cd2

2121020021970 has 80 divisors (see below), whose sum is σ = 5753658101400. Its totient is φ = 560599958016.

The previous prime is 2121020021969. The next prime is 2121020021977. The reversal of 2121020021970 is 791200201212.

It can be written as a sum of positive squares in 4 ways, for example, as 392365684881 + 1728654337089 = 626391^2 + 1314783^2 .

It is a super-3 number, since 3×21210200219703 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2121020021977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11494945 + ... + 11678004.

Almost surely, 22121020021970 is an apocalyptic number.

2121020021970 is an abundant number, since it is smaller than the sum of its proper divisors (3632638079430).

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

2121020021970 is a wasteful number, since it uses less digits than its factorization.

2121020021970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23173081 (or 23173072 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 2121020021970 in words is "two trillion, one hundred twenty-one billion, twenty million, twenty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 270 339 405 565 678 810 1017 1130 1695 2034 3051 3390 5085 6102 9153 10170 15255 18306 30510 45765 91530 23172949 46345898 69518847 115864745 139037694 208556541 231729490 347594235 417113082 625669623 695188470 1042782705 1251339246 1877008869 2085565410 2618543237 3128348115 3754017738 5237086474 6256696230 7855629711 9385044345 13092716185 15711259422 18770088690 23566889133 26185432370 39278148555 47133778266 70700667399 78556297110 117834445665 141401334798 212102002197 235668891330 353503336995 424204004394 707006673990 1060510010985 2121020021970