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12101143403202 = 2375912768356299
BaseRepresentation
bin1011000000011000010001…
…0110101001101011000010
31120211212011111020100100220
42300012010112221223002
53041231120202400302
641423104420123510
72356164420525030
oct260060426515302
946755144210326
1012101143403202
11394607aa7a727
121435348536596
1369a196068869
142db9ac839550
1515eba27164bc
hexb01845a9ac2

12101143403202 has 128 divisors (see below), whose sum is σ = 28392062976000. Its totient is φ = 3367108616256.

The previous prime is 12101143403177. The next prime is 12101143403207. The reversal of 12101143403202 is 20230434110121.

It is a super-3 number, since 3×121011434032023 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12101143403207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214916049 + ... + 214972347.

It is an arithmetic number, because the mean of its divisors is an integer number (221812992000).

Almost surely, 212101143403202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101143403202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196031488000).

12101143403202 is an abundant number, since it is smaller than the sum of its proper divisors (16290919572798).

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

12101143403202 is a wasteful number, since it uses less digits than its factorization.

12101143403202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57180.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12101143403202 its reverse (20230434110121), we get a palindrome (32331577513323).

The spelling of 12101143403202 in words is "twelve trillion, one hundred one billion, one hundred forty-three million, four hundred three thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 59 118 127 177 254 354 381 413 683 762 826 889 1239 1366 1778 2049 2478 2667 4098 4781 5334 7493 9562 14343 14986 22479 28686 40297 44958 52451 56299 80594 86741 104902 112598 120891 157353 168897 173482 241782 260223 282079 314706 337794 394093 520446 564158 607187 788186 846237 1182279 1214374 1692474 1821561 2364558 3321641 3643122 5117719 6643282 7149973 9964923 10235438 14299946 15353157 19929846 21449919 23251487 30706314 35824033 38452217 42899838 46502974 50049811 69754461 71648066 76904434 100099622 107472099 115356651 139508922 150149433 214944198 230713302 269165519 300298866 421848407 538331038 807496557 843696814 1265545221 1614993114 2268680803 2531090442 2952938849 4537361606 4883431559 5905877698 6806042409 8858816547 9766863118 13612084818 14650294677 15880765621 17717633094 29300589354 31761531242 34184020913 47642296863 68368041826 95284593726 102552062739 205104125478 288122461981 576244923962 864367385943 1728734771886 2016857233867 4033714467734 6050571701601 12101143403202