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20302001010 = 23253710955933
BaseRepresentation
bin10010111010000101…
…111111001101110010
31221101212210111202100
4102322011333031302
5313034303013020
613154314201230
71316050106214
oct227205771562
957355714670
1020302001010
118678a4a935
123b27123216
131bb7126465
14da845a5b4
157dc522a90
hex4ba17f372

20302001010 has 96 divisors (see below), whose sum is σ = 54710164080. Its totient is φ = 5219126784.

The previous prime is 20302000987. The next prime is 20302001021. The reversal of 20302001010 is 1010020302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12239218161 + 8062782849 = 110631^2 + 89793^2 .

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 = 20302000983 and 20302001001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335004 + ... + 390936.

Almost surely, 220302001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27355082040).

20302001010 is an abundant number, since it is smaller than the sum of its proper divisors (34408163070).

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

20302001010 is a wasteful number, since it uses less digits than its factorization.

20302001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56092 (or 56089 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20302001010 its reverse (1010020302), we get a palindrome (21312021312).

The spelling of 20302001010 in words is "twenty billion, three hundred two million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 109 111 185 218 222 327 333 370 545 555 654 666 981 1090 1110 1635 1665 1962 3270 3330 4033 4905 8066 9810 12099 20165 24198 36297 40330 55933 60495 72594 111866 120990 167799 181485 279665 335598 362970 503397 559330 838995 1006794 1677990 2069521 2516985 4139042 5033970 6096697 6208563 10347605 12193394 12417126 18290091 18625689 20695210 30483485 31042815 36580182 37251378 54870273 60966970 62085630 91450455 93128445 109740546 182900910 186256890 225577789 274351365 451155578 548702730 676733367 1127888945 1353466734 2030200101 2255777890 3383666835 4060400202 6767333670 10151000505 20302001010