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1102331120 = 2451123107509
BaseRepresentation
bin100000110110100…
…0011110011110000
32211211020020000112
41001231003303300
54224144043440
6301214440452
736213442232
oct10155036360
92754206015
101102331120
11516267760
12269203128
131474b8a47
14a6588252
1566b96965
hex41b43cf0

1102331120 has 160 divisors (see below), whose sum is σ = 2950525440. Its totient is φ = 379089920.

The previous prime is 1102331089. The next prime is 1102331137. The reversal of 1102331120 is 211332011.

It is a junction number, because it is equal to n+sod(n) for n = 1102331095 and 1102331104.

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, 2165426 + ... + 2165934.

It is an arithmetic number, because the mean of its divisors is an integer number (18440784).

Almost surely, 21102331120 is an apocalyptic number.

1102331120 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 1102331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475262720).

1102331120 is an abundant number, since it is smaller than the sum of its proper divisors (1848194320).

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

1102331120 is a wasteful number, since it uses less digits than its factorization.

1102331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1102331120 is about 33201.3722607967. The cubic root of 1102331120 is about 1033.0088036268.

Adding to 1102331120 its reverse (211332011), we get a palindrome (1313663131).

The spelling of 1102331120 in words is "one billion, one hundred two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 107 110 115 176 184 214 220 230 253 368 428 440 460 506 509 535 856 880 920 1012 1018 1070 1177 1265 1712 1840 2024 2036 2140 2354 2461 2530 2545 4048 4072 4280 4708 4922 5060 5090 5599 5885 8144 8560 9416 9844 10120 10180 11198 11707 11770 12305 18832 19688 20240 20360 22396 23414 23540 24610 27071 27995 39376 40720 44792 46828 47080 49220 54142 54463 55990 58535 89584 93656 94160 98440 108284 108926 111980 117070 128777 135355 187312 196880 216568 217852 223960 234140 257554 270710 272315 433136 435704 447920 468280 515108 541420 544630 599093 643885 871408 936560 1030216 1082840 1089260 1198186 1252649 1287770 2060432 2165680 2178520 2396372 2505298 2575540 2995465 4357040 4792744 5010596 5151080 5990930 6263245 9585488 10021192 10302160 11981860 12526490 13779139 20042384 23963720 25052980 27558278 47927440 50105960 55116556 68895695 100211920 110233112 137791390 220466224 275582780 551165560 1102331120