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1220103120 = 243537137399
BaseRepresentation
bin100100010111001…
…0100101111010000
310011000211122211110
41020232110233100
54444321244440
6321023013320
742143463645
oct11056245720
93130748743
101220103120
11576797595
122a073a240
13165a12812
14b8083dcc
15721ac080
hex48b94bd0

1220103120 has 80 divisors (see below), whose sum is σ = 3884572800. Its totient is φ = 316564992.

The previous prime is 1220103119. The next prime is 1220103139. The reversal of 1220103120 is 213010221.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1220103096 and 1220103105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59820 + ... + 77579.

It is an arithmetic number, because the mean of its divisors is an integer number (48557160).

Almost surely, 21220103120 is an apocalyptic number.

1220103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220103120 is an abundant number, since it is smaller than the sum of its proper divisors (2664469680).

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

1220103120 is a wasteful number, since it uses less digits than its factorization.

1220103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137452 (or 137446 counting only the distinct ones).

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

The square root of 1220103120 is about 34929.9745204602. The cubic root of 1220103120 is about 1068.5598349799.

Adding to 1220103120 its reverse (213010221), we get a palindrome (1433113341).

The spelling of 1220103120 in words is "one billion, two hundred twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 137399 274798 412197 549596 686995 824394 1099192 1373990 1648788 2060985 2198384 2747980 3297576 4121970 5083763 5495960 6595152 8243940 10167526 10991920 15251289 16487880 20335052 25418815 30502578 32975760 40670104 50837630 61005156 76256445 81340208 101675260 122010312 152512890 203350520 244020624 305025780 406701040 610051560 1220103120