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210020011032 = 2331317111735449
BaseRepresentation
bin1100001110011000101…
…0110000110000011000
3202002002122200222121010
43003212022300300120
511420110110323112
6240252025413520
721113330432106
oct3034612606030
9662078628533
10210020011032
1181083903857
123485333a2a0
1316a601c4aa0
14a244b72c76
1556e2e8663c
hex30e62b0c18

210020011032 has 128 divisors (see below), whose sum is σ = 599252472000. Its totient is φ = 60764110848.

The previous prime is 210020011027. The next prime is 210020011037. The reversal of 210020011032 is 230110020012.

It is an interprime number because it is at equal distance from previous prime (210020011027) and next prime (210020011037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210020010999 and 210020011017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210020011037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5906844 + ... + 5942292.

Almost surely, 2210020011032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210020011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299626236000).

210020011032 is an abundant number, since it is smaller than the sum of its proper divisors (389232460968).

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

210020011032 is a wasteful number, since it uses less digits than its factorization.

210020011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36605 (or 36601 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210020011032 its reverse (230110020012), we get a palindrome (440130031044).

The spelling of 210020011032 in words is "two hundred ten billion, twenty million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1117 1326 1768 2234 2652 3351 4468 5304 6702 8936 13404 14521 18989 26808 29042 35449 37978 43563 56967 58084 70898 75956 87126 106347 113934 116168 141796 151912 174252 212694 227868 246857 283592 348504 425388 455736 460837 493714 602633 740571 850776 921674 987428 1205266 1382511 1481142 1807899 1843348 1974856 2410532 2765022 2962284 3615798 3686696 4821064 5530044 5924568 7231596 7834229 11060088 14463192 15668458 23502687 31336916 39596533 47005374 62673832 79193066 94010748 118789599 158386132 188021496 237579198 316772264 475158396 514754929 673141061 950316792 1029509858 1346282122 1544264787 2019423183 2059019716 2692564244 3088529574 4038846366 4118039432 5385128488 6177059148 8077692732 8750833793 12354118296 16155385464 17501667586 26252501379 35003335172 52505002758 70006670344 105010005516 210020011032