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1101021320 = 235717313739
BaseRepresentation
bin100000110100000…
…0100000010001000
32211201202200022102
41001220010002020
54223330140240
6301130412532
736166345460
oct10150040210
92751680272
101101021320
11515552683
12268891148
1314714a809
14a6326ba0
15669d8815
hex41a04088

1101021320 has 128 divisors (see below), whose sum is σ = 3011385600. Its totient is φ = 353673216.

The previous prime is 1101021319. The next prime is 1101021331. The reversal of 1101021320 is 231201011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489511 + ... + 1490249.

It is an arithmetic number, because the mean of its divisors is an integer number (23526450).

Almost surely, 21101021320 is an apocalyptic number.

1101021320 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 1101021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505692800).

1101021320 is an abundant number, since it is smaller than the sum of its proper divisors (1910364280).

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

1101021320 is a wasteful number, since it uses less digits than its factorization.

1101021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1101021320 is about 33181.6413096158. The cubic root of 1101021320 is about 1032.5994979421.

Adding to 1101021320 its reverse (231201011), we get a palindrome (1332222331).

The spelling of 1101021320 in words is "one billion, one hundred one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 313 340 476 595 626 680 739 952 1190 1252 1478 1565 2191 2380 2504 2956 3130 3695 4382 4760 5173 5321 5912 6260 7390 8764 10346 10642 10955 12520 12563 14780 17528 20692 21284 21910 25126 25865 26605 29560 37247 41384 42568 43820 50252 51730 53210 62815 74494 87640 87941 100504 103460 106420 125630 148988 175882 186235 206920 212840 231307 251260 297976 351764 372470 439705 462614 502520 703528 744940 879410 925228 1156535 1489880 1619149 1758820 1850456 2313070 3238298 3517640 3932219 4626140 6476596 7864438 8095745 9252280 12953192 15728876 16191490 19661095 27525533 31457752 32382980 39322190 55051066 64765960 78644380 110102132 137627665 157288760 220204264 275255330 550510660 1101021320