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201233102130 = 23252337271011
BaseRepresentation
bin1011101101101001101…
…1010111010100110010
3201020102021120202121200
42323122123113110302
511244111133232010
6232240055432030
720352513100644
oct2733233272462
9636367522550
10201233102130
1178384927075
1233000685616
1315c8c9335c8
149a4db8a894
15537b84ccc0
hex2eda6d7532

201233102130 has 144 divisors (see below), whose sum is σ = 561116372544. Its totient is φ = 49941048960.

The previous prime is 201233102129. The next prime is 201233102137. The reversal of 201233102130 is 31201332102.

201233102130 is a `hidden beast` number, since 20 + 123 + 310 + 213 + 0 = 666.

It is a super-2 number, since 2×2012331021302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201233102137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2798325 + ... + 2869335.

It is an arithmetic number, because the mean of its divisors is an integer number (3896641476).

Almost surely, 2201233102130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201233102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280558186272).

201233102130 is an abundant number, since it is smaller than the sum of its proper divisors (359883270414).

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

201233102130 is a wasteful number, since it uses less digits than its factorization.

201233102130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71121 (or 71081 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201233102130 its reverse (31201332102), we get a palindrome (232434434232).

The spelling of 201233102130 in words is "two hundred one billion, two hundred thirty-three million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 666 690 851 1035 1110 1369 1665 1702 2070 2553 2738 3330 4107 4255 5106 6845 7659 8214 8510 12321 12765 13690 15318 20535 24642 25530 31487 38295 41070 61605 62974 71011 76590 94461 123210 142022 157435 188922 213033 283383 314870 355055 426066 472305 566766 639099 710110 944610 1065165 1278198 1416915 1633253 2130330 2627407 2833830 3195495 3266506 4899759 5254814 6390990 7882221 8166265 9799518 13137035 14699277 15764442 16332530 23646663 24498795 26274070 29398554 39411105 47293326 48997590 60430361 73496385 78822210 97214059 118233315 120860722 146992770 181291083 194428118 236466630 291642177 302151805 362582166 486070295 543873249 583284354 604303610 874926531 906455415 972140590 1087746498 1458210885 1749853062 1812910830 2235923357 2719366245 2916421770 4374632655 4471846714 5438732490 6707770071 8749265310 11179616785 13415540142 20123310213 22359233570 33538850355 40246620426 67077700710 100616551065 201233102130