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3430212202131 = 3111383186751599
BaseRepresentation
bin110001111010101000100…
…101000110111010010011
3110010220222101102112102020
4301322220211012322103
5422200033310432011
611143452344022523
7502552566432051
oct61725045067223
913126871375366
103430212202131
1111028213a9770
1247496b161a43
131bb6104a0610
14bc0477811d1
155e3636d1006
hex31ea8946e93

3430212202131 has 64 divisors (see below), whose sum is σ = 5440954982400. Its totient is φ = 1894827162240.

The previous prime is 3430212202117. The next prime is 3430212202139. The reversal of 3430212202131 is 1312022120343.

3430212202131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3430212202131 - 214 = 3430212185747 is a prime.

It is a super-2 number, since 2×34302122021312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3430212202139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66452470 + ... + 66504068.

It is an arithmetic number, because the mean of its divisors is an integer number (85014921600).

Almost surely, 23430212202131 is an apocalyptic number.

3430212202131 is a deficient number, since it is larger than the sum of its proper divisors (2010742780269).

3430212202131 is a wasteful number, since it uses less digits than its factorization.

3430212202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53576.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3430212202131 its reverse (1312022120343), we get a palindrome (4742234322474).

The spelling of 3430212202131 in words is "three trillion, four hundred thirty billion, two hundred twelve million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 83 143 249 429 913 1079 1867 2739 3237 5601 11869 20537 24271 35607 51599 61611 72813 154797 154961 266981 464883 567589 670787 800943 1702767 1704571 2012361 2014493 4282717 5113713 6043479 7378657 12848151 22135971 22159423 47109887 55675321 66478269 96335333 141329661 167025963 289005999 612428531 1059688663 1252359329 1837285593 3179065989 3757077987 7995832639 13775952619 23987497917 41327857857 87954159029 103945824307 263862477087 311837472921 1143404067377 3430212202131