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210312013132023 = 3111741101577156899
BaseRepresentation
bin101111110100011100010100…
…110101011011000011110111
31000120122122001210121200020120
4233310130110311123003313
5210031223000330211043
62023144001030503023
762204353512564135
oct5764342465330367
91016578053550216
10210312013132023
1161014907654550
121b707a63804a73
139047451027b3a
1439d1227530755
15194aa71157983
hexbf4714d5b0f7

210312013132023 has 128 divisors (see below), whose sum is σ = 335671126963200. Its totient is φ = 115677757440000.

The previous prime is 210312013131977. The next prime is 210312013132031. The reversal of 210312013132023 is 320231310213012.

It is not a de Polignac number, because 210312013132023 - 230 = 210310939390199 is a prime.

It is a super-2 number, since 2×2103120131320232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210312013131984 and 210312013132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210312013132043) 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, 1340350828 + ... + 1340507726.

It is an arithmetic number, because the mean of its divisors is an integer number (2622430679400).

Almost surely, 2210312013132023 is an apocalyptic number.

210312013132023 is a deficient number, since it is larger than the sum of its proper divisors (125359113831177).

210312013132023 is a wasteful number, since it uses less digits than its factorization.

210312013132023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157649.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 210312013132023 its reverse (320231310213012), we get a palindrome (530543323345035).

The spelling of 210312013132023 in words is "two hundred ten trillion, three hundred twelve billion, thirteen million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 3 11 17 33 41 51 101 123 187 303 451 561 577 697 1111 1353 1717 1731 2091 3333 4141 5151 6347 7667 9809 12423 18887 19041 23001 23657 29427 45551 56661 58277 70397 70971 107899 136653 156899 174831 211191 260227 323697 402169 470697 641047 774367 780681 990709 1206507 1725889 1923141 2323101 2389357 2667283 2972127 4423859 5177667 6432859 7168071 8001849 10897799 13271577 15846799 19298577 26282927 29340113 32693397 40619069 47540397 70761449 78848781 88020339 90530723 109358603 121857207 174314789 212284347 269395583 271592169 328075809 446809759 522944367 649718759 808186749 995837953 1202944633 1340429277 1539022291 1949156277 2963351413 2987513859 3608833899 3711759643 4617066873 7146906349 8890054239 9143603023 11045218903 11135278929 16929245201 21440719047 27430809069 33135656709 40829356073 50787735603 63099913931 100579633253 121497407933 122488068219 155441251391 189299741793 301738899759 364492223799 374887723943 466323754173 694099053241 1124663171829 1709853765301 2082297159723 4123764963373 5129561295903 6373091307031 12371294890119 19119273921093 70104004377341 210312013132023