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1012221140 = 225717479049
BaseRepresentation
bin111100010101010…
…100010011010100
32121112200011100212
4330111110103110
54033112034030
6244235224552
734040511020
oct7425242324
92545604325
101012221140
1147a4107a7
12242ba8158
13131928a28
149860d380
155dce7595
hex3c5544d4

1012221140 has 96 divisors (see below), whose sum is σ = 2627251200. Its totient is φ = 319647744.

The previous prime is 1012221137. The next prime is 1012221151. The reversal of 1012221140 is 411222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 107336 + ... + 116384.

It is an arithmetic number, because the mean of its divisors is an integer number (27367200).

Almost surely, 21012221140 is an apocalyptic number.

1012221140 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 1012221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313625600).

1012221140 is an abundant number, since it is smaller than the sum of its proper divisors (1615030060).

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

1012221140 is a wasteful number, since it uses less digits than its factorization.

1012221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1012221140 is about 31815.4229894873. The cubic root of 1012221140 is about 1004.0572299562.

Adding to 1012221140 its reverse (411222101), we get a palindrome (1423443241).

The spelling of 1012221140 in words is "one billion, twelve million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 329 340 470 476 595 658 799 940 1190 1316 1598 1645 2380 3196 3290 3995 5593 6580 7990 9049 11186 15980 18098 22372 27965 36196 45245 55930 63343 90490 111860 126686 153833 180980 253372 307666 316715 425303 615332 633430 769165 850606 1076831 1266860 1538330 1701212 2126515 2153662 2977121 3076660 4253030 4307324 5384155 5954242 7230151 8506060 10768310 11908484 14460302 14885605 21536620 28920604 29771210 36150755 50611057 59542420 72301510 101222114 144603020 202444228 253055285 506110570 1012221140