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42010222103213 = 7132419712770309
BaseRepresentation
bin10011000110101010001000…
…10111011000101010101101
312111202010201121110111201212
421203111010113120222231
521001243413324300323
6225203121332244205
711564065316020010
oct1143250427305255
9174663647414655
1042010222103213
111242748719a341
124865a42470665
131a59715842100
14a5343c7c5377
154ccbb032ab78
hex2635445d8aad

42010222103213 has 96 divisors (see below), whose sum is σ = 54230487736320. Its totient is φ = 31840682065920.

The previous prime is 42010222103203. The next prime is 42010222103221. The reversal of 42010222103213 is 31230122201024.

It is not a de Polignac number, because 42010222103213 - 24 = 42010222103197 is a prime.

It is a super-2 number, since 2×420102221032132 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010222103203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597473303 + ... + 597543611.

It is an arithmetic number, because the mean of its divisors is an integer number (564900913920).

Almost surely, 242010222103213 is an apocalyptic number.

It is an amenable number.

42010222103213 is a deficient number, since it is larger than the sum of its proper divisors (12220265633107).

42010222103213 is a wasteful number, since it uses less digits than its factorization.

42010222103213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70607 (or 70594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 42010222103213 its reverse (31230122201024), we get a palindrome (73240344304237).

The spelling of 42010222103213 in words is "forty-two trillion, ten billion, two hundred twenty-two million, one hundred three thousand, two hundred thirteen".

Divisors: 1 7 13 41 91 97 127 169 287 533 679 889 1183 1261 1651 3731 3977 5207 6929 8827 11557 12319 16393 21463 27839 36449 48503 51701 67691 70309 86233 114751 150241 160147 361907 473837 492163 505079 672113 879983 914017 1121029 2081911 2882669 3535553 4704791 6159881 6398119 6566027 6819973 8929243 11882221 14573377 20178683 37474697 45962189 47739811 62504701 83175547 85358351 88659649 116080159 262322879 279618893 366098963 487171061 597508457 620617543 812561113 866136571 1152575437 1509042067 1957332251 2562692741 3410197427 3635045609 4759286519 6062955997 8068028059 10563294469 11259775423 25445319263 33315005633 35511599411 47255592917 61870724747 78818427961 146377080499 248581195877 330789150419 433095073229 461650792343 1024639563493 3231555546401 6001460300459 42010222103213