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1010213220 = 2235371134027
BaseRepresentation
bin111100001101101…
…010000101100100
32121101220011000110
4330031222011210
54032103310340
6244124213020
734014446022
oct7415520544
92541804013
101010213220
1147926a165
1224239a170
131313a4b03
1498249712
155da4c680
hex3c36a164

1010213220 has 96 divisors (see below), whose sum is σ = 2931481728. Its totient is φ = 259725312.

The previous prime is 1010213209. The next prime is 1010213221. The reversal of 1010213220 is 223120101.

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 = 1010213196 and 1010213205.

It is not an unprimeable number, because it can be changed into a prime (1010213221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248847 + ... + 252873.

It is an arithmetic number, because the mean of its divisors is an integer number (30536268).

Almost surely, 21010213220 is an apocalyptic number.

1010213220 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 1010213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465740864).

1010213220 is an abundant number, since it is smaller than the sum of its proper divisors (1921268508).

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

1010213220 is a wasteful number, since it uses less digits than its factorization.

1010213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4187 counting only the distinct ones).

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

The square root of 1010213220 is about 31783.8515601870. The cubic root of 1010213220 is about 1003.3928819992.

Adding to 1010213220 its reverse (223120101), we get a palindrome (1233333321).

The spelling of 1010213220 in words is "one billion, ten million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 113 148 185 222 226 339 370 444 452 555 565 678 740 1110 1130 1356 1695 2220 2260 3390 4027 4181 6780 8054 8362 12081 12543 16108 16724 20135 20905 24162 25086 40270 41810 48324 50172 60405 62715 80540 83620 120810 125430 148999 241620 250860 297998 446997 455051 595996 744995 893994 910102 1365153 1489990 1787988 1820204 2234985 2275255 2730306 2979980 4469970 4550510 5460612 6825765 8939940 9101020 13651530 16836887 27303060 33673774 50510661 67347548 84184435 101021322 168368870 202042644 252553305 336737740 505106610 1010213220