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20974348311 = 3719314159701
BaseRepresentation
bin10011100010001010…
…110010100000010111
32000010201221021212020
4103202022302200113
5320423413121221
613345133024223
71341523006350
oct234212624027
960121837766
1020974348311
118993522364
124094325073
131c935030b7
14102d876d27
1582b581ac6
hex4e22b2817

20974348311 has 128 divisors (see below), whose sum is σ = 36229939200. Its totient is φ = 10523520000.

The previous prime is 20974348309. The next prime is 20974348379. The reversal of 20974348311 is 11384347902.

It is not a de Polignac number, because 20974348311 - 21 = 20974348309 is a prime.

It is a super-2 number, since 2×209743483112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20974348711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29920261 + ... + 29920961.

It is an arithmetic number, because the mean of its divisors is an integer number (283046400).

Almost surely, 220974348311 is an apocalyptic number.

20974348311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20974348311 is a deficient number, since it is larger than the sum of its proper divisors (15255590889).

20974348311 is a wasteful number, since it uses less digits than its factorization.

20974348311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20974348311 in words is "twenty billion, nine hundred seventy-four million, three hundred forty-eight thousand, three hundred eleven".

Divisors: 1 3 7 19 21 31 41 57 59 93 123 133 177 217 287 399 413 589 651 701 779 861 1121 1239 1271 1767 1829 2103 2337 2419 3363 3813 4123 4907 5453 5487 7257 7847 8897 12369 12803 13319 14721 16359 16933 21731 23541 24149 26691 28741 34751 38409 39957 41359 45961 50799 65193 72447 74989 86223 93233 104253 124077 137883 152117 169043 201187 224967 243257 279699 289513 321727 412889 456351 507129 524923 546079 603561 729771 785821 868539 890971 965181 1238667 1282129 1424791 1574769 1638237 1695719 2357463 2672913 2890223 3822553 3846387 4274373 5087157 5500747 6236797 8670669 8974903 9973537 11467659 11870033 16502241 16928449 18710391 24360451 26924709 29920611 32218661 35610099 50785347 52567289 73081353 96655983 118499143 157701867 170523157 225530627 355497429 367971023 511569471 676591881 998778491 1103913069 2996335473 6991449437 20974348311