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10100202021 = 3271323725639
BaseRepresentation
bin10010110100000010…
…01101101000100101
3222001220022102110100
421122001031220211
5131141122431041
64350122214313
7505202205060
oct113201155045
928056272410
1010100202021
1143133342a8
121b5a654399
13c4c6a1c00
146bb5a78d7
153e1aa26b6
hex25a04da25

10100202021 has 72 divisors (see below), whose sum is σ = 18543258240. Its totient is φ = 5183388288.

The previous prime is 10100202019. The next prime is 10100202053. The reversal of 10100202021 is 12020200101.

It is not a de Polignac number, because 10100202021 - 21 = 10100202019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100201994 and 10100202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100202121) 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, 381120 + ... + 406758.

Almost surely, 210100202021 is an apocalyptic number.

It is an amenable number.

10100202021 is a deficient number, since it is larger than the sum of its proper divisors (8443056219).

10100202021 is a wasteful number, since it uses less digits than its factorization.

10100202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25715 (or 25699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100202021 its reverse (12020200101), we get a palindrome (22120402122).

The spelling of 10100202021 in words is "ten billion, one hundred million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 169 259 273 333 481 507 777 819 1183 1443 1521 2331 3367 3549 4329 6253 10101 10647 18759 25639 30303 43771 56277 76917 131313 179473 230751 333307 393939 538419 948643 999921 1615257 2333149 2845929 2999763 4332991 6640501 6999447 8537787 12332359 12998973 19921503 20998341 30330937 36997077 38996919 59764509 86326513 90992811 110991231 160320667 258979539 272978433 480962001 776938617 1122244669 1442886003 3366734007 10100202021