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1012130220 = 2235831671217
BaseRepresentation
bin111100010100111…
…110000110101100
32121112111112122110
4330110332012230
54033101131340
6244233244020
734036651653
oct7424760654
92545445573
101012130220
1147a359462
12242b63610
131318c652a
14985c819a
155dcca680
hex3c53e1ac

1012130220 has 96 divisors (see below), whose sum is σ = 2887653888. Its totient is φ = 264835072.

The previous prime is 1012130213. The next prime is 1012130233. The reversal of 1012130220 is 220312101.

It is a super-4 number, since 4×10121302204 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012130196 and 1012130205.

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, 831052 + ... + 832268.

It is an arithmetic number, because the mean of its divisors is an integer number (30079728).

Almost surely, 21012130220 is an apocalyptic number.

1012130220 is a gapful number since it is divisible by the number (10) 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 1012130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443826944).

1012130220 is an abundant number, since it is smaller than the sum of its proper divisors (1875523668).

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

1012130220 is a wasteful number, since it uses less digits than its factorization.

1012130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012130220 is about 31813.9940906514. The cubic root of 1012130220 is about 1004.0271668231.

Adding to 1012130220 its reverse (220312101), we get a palindrome (1232442321).

The spelling of 1012130220 in words is "one billion, twelve million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 167 249 332 334 415 498 501 668 830 835 996 1002 1217 1245 1660 1670 2004 2434 2490 2505 3340 3651 4868 4980 5010 6085 7302 10020 12170 13861 14604 18255 24340 27722 36510 41583 55444 69305 73020 83166 101011 138610 166332 202022 203239 207915 277220 303033 404044 406478 415830 505055 606066 609717 812956 831660 1010110 1016195 1212132 1219434 1515165 2020220 2032390 2438868 3030330 3048585 4064780 6060660 6097170 12194340 16868837 33737674 50606511 67475348 84344185 101213022 168688370 202426044 253032555 337376740 506065110 1012130220