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201011999958 = 232711214718963
BaseRepresentation
bin1011101100110100111…
…1111011010011010110
3201012211212112121110100
42323031033323103112
511243133032444313
6232202120434530
720344156544130
oct2731517732326
9635755477410
10201011999958
1178281040800
1232b5a618a46
1315c55b9b313
149a2c674050
155367226173
hex2ecd3fb4d6

201011999958 has 144 divisors (see below), whose sum is σ = 547540051968. Its totient is φ = 52169594400.

The previous prime is 201011999899. The next prime is 201011999983. The reversal of 201011999958 is 859999110102.

It is a super-2 number, since 2×2010119999582 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22422385 + ... + 22431347.

It is an arithmetic number, because the mean of its divisors is an integer number (3802361472).

Almost surely, 2201011999958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011999958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273770025984).

201011999958 is an abundant number, since it is smaller than the sum of its proper divisors (346528052010).

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

201011999958 is a wasteful number, since it uses less digits than its factorization.

201011999958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 54.

The spelling of 201011999958 in words is "two hundred one billion, eleven million, nine hundred ninety-nine thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1471 1694 2178 2541 2942 4413 5082 7623 8826 8963 10297 13239 15246 16181 17926 20594 26478 26889 30891 32362 48543 53778 61782 62741 80667 92673 97086 98593 113267 125482 145629 161334 177991 185346 188223 197186 226534 291258 295779 339801 355982 376446 533973 564669 591558 679602 690151 887337 1019403 1067946 1084523 1129338 1245937 1380302 1601919 1774674 2038806 2070453 2169046 2491874 3203838 3253569 3737811 4140906 6211359 6507138 7475622 7591661 9760707 11213433 12422718 13184573 15183322 19521414 22426866 22774983 26369146 39553719 45549966 68324949 79107438 92292011 118661157 136649898 145030303 184584022 237322314 276876033 290060606 435090909 553752066 830628099 870181818 1015212121 1305272727 1595333333 1661256198 2030424242 2610545454 3045636363 3190666666 4785999999 6091272726 9136909089 9571999998 11167333331 14357999997 18273818178 22334666662 28715999994 33501999993 67003999986 100505999979 201011999958