Search a number
-
+
2310001020 = 22325371512297
BaseRepresentation
bin1000100110101111…
…1101000101111100
312221222200012200100
42021223331011330
514212330013040
61021115201100
7111146453565
oct21153750574
95858605610
102310001020
11a85a31a58
12545746190
132aa767312
1417cb1316c
15d7be9b30
hex89afd17c

2310001020 has 144 divisors (see below), whose sum is σ = 7247193408. Its totient is φ = 595123200.

The previous prime is 2310001013. The next prime is 2310001033. The reversal of 2310001020 is 201000132.

It is a happy number.

It is a super-2 number, since 2×23100010202 = 10672209424802080800, which contains 22 as substring.

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 = 2310000993 and 2310001011.

It is a congruent number.

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, 1004512 + ... + 1006808.

It is an arithmetic number, because the mean of its divisors is an integer number (50327732).

Almost surely, 22310001020 is an apocalyptic number.

2310001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2310001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623596704).

2310001020 is an abundant number, since it is smaller than the sum of its proper divisors (4937192388).

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

2310001020 is a wasteful number, since it uses less digits than its factorization.

2310001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2495 counting only the distinct ones).

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

The square root of 2310001020 is about 48062.4699739828. The cubic root of 2310001020 is about 1321.9166028521.

Adding to 2310001020 its reverse (201000132), we get a palindrome (2511001152).

The spelling of 2310001020 in words is "two billion, three hundred ten million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 151 180 185 222 302 333 370 444 453 555 604 666 740 755 906 1110 1332 1359 1510 1665 1812 2220 2265 2297 2718 3020 3330 4530 4594 5436 5587 6660 6795 6891 9060 9188 11174 11485 13590 13782 16761 20673 22348 22970 27180 27564 27935 33522 34455 41346 45940 50283 55870 67044 68910 82692 83805 84989 100566 103365 111740 137820 167610 169978 201132 206730 251415 254967 335220 339956 346847 413460 424945 502830 509934 693694 764901 849890 1005660 1019868 1040541 1274835 1387388 1529802 1699780 1734235 2081082 2549670 3059604 3121623 3468470 3824505 4162164 5099340 5202705 6243246 6936940 7649010 10405410 12486492 12833339 15298020 15608115 20810820 25666678 31216230 38500017 51333356 62432460 64166695 77000034 115500051 128333390 154000068 192500085 231000102 256666780 385000170 462000204 577500255 770000340 1155000510 2310001020