Search a number
-
+
1012058130 = 23573521887
BaseRepresentation
bin111100010100101…
…100100000010010
32121112100212202110
4330110230200102
54033041330010
6244231530150
734036231536
oct7424544022
92545325673
101012058130
1147a30a286
12242b29956
1313189c785
14985a9bc6
155dcb4120
hex3c52c812

1012058130 has 64 divisors (see below), whose sum is σ = 2469719808. Its totient is φ = 265374720.

The previous prime is 1012058129. The next prime is 1012058189. The reversal of 1012058130 is 318502101.

1012058130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012058097 and 1012058106.

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, 1140547 + ... + 1141433.

It is an arithmetic number, because the mean of its divisors is an integer number (38589372).

Almost surely, 21012058130 is an apocalyptic number.

1012058130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012058130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234859904).

1012058130 is an abundant number, since it is smaller than the sum of its proper divisors (1457661678).

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

1012058130 is a wasteful number, since it uses less digits than its factorization.

1012058130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1012058130 is about 31812.8610785009. The cubic root of 1012058130 is about 1004.0033286398.

The spelling of 1012058130 in words is "one billion, twelve million, fifty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 521 730 887 1042 1095 1563 1774 2190 2605 2661 3126 4435 5210 5322 7815 8870 13305 15630 26610 38033 64751 76066 114099 129502 190165 194253 228198 323755 380330 388506 462127 570495 647510 924254 971265 1140990 1386381 1942530 2310635 2772762 4621270 6931905 13863810 33735271 67470542 101205813 168676355 202411626 337352710 506029065 1012058130