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3020100020 = 2257297110477
BaseRepresentation
bin1011010000000011…
…0001000110110100
321210110211222101022
42310000301012310
522141121200040
61215403120312
7134561266220
oct26400610664
97713758338
103020100020
11130a849933
12703513098
13391901342
14209159780
1512a2146b5
hexb40311b4

3020100020 has 96 divisors (see below), whose sum is σ = 7604513280. Its totient is φ = 985582080.

The previous prime is 3020099987. The next prime is 3020100053. The reversal of 3020100020 is 200010203.

It is an interprime number because it is at equal distance from previous prime (3020099987) and next prime (3020100053).

It is a junction number, because it is equal to n+sod(n) for n = 3020099980 and 3020100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283022 + ... + 293498.

It is an arithmetic number, because the mean of its divisors is an integer number (79213680).

Almost surely, 23020100020 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 3020100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802256640).

3020100020 is an abundant number, since it is smaller than the sum of its proper divisors (4584413260).

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

3020100020 is a wasteful number, since it uses less digits than its factorization.

3020100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10593 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3020100020 is about 54955.4366737268. The cubic root of 3020100020 is about 1445.4634305754.

Adding to 3020100020 its reverse (200010203), we get a palindrome (3220110223).

The spelling of 3020100020 in words is "three billion, twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 71 116 140 142 145 203 284 290 355 406 497 580 710 812 994 1015 1420 1988 2030 2059 2485 4060 4118 4970 8236 9940 10295 10477 14413 20590 20954 28826 41180 41908 52385 57652 72065 73339 104770 144130 146678 209540 288260 293356 303833 366695 607666 733390 743867 1215332 1466780 1487734 1519165 2126831 2975468 3038330 3719335 4253662 5207069 6076660 7438670 8507324 10414138 10634155 14877340 20828276 21268310 21572143 26035345 42536620 43144286 52070690 86288572 104141380 107860715 151005001 215721430 302010002 431442860 604020004 755025005 1510050010 3020100020