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1220103300 = 22352132691163
BaseRepresentation
bin100100010111001…
…0100110010000100
310011000211200002010
41020232110302010
54444321301200
6321023014220
742143464323
oct11056246204
93130750063
101220103300
11576797739
122a073a370
13165a12920
14b80840ba
15721ac150
hex48b94c84

1220103300 has 144 divisors (see below), whose sum is σ = 3819130560. Its totient is φ = 298959360.

The previous prime is 1220103293. The next prime is 1220103307. The reversal of 1220103300 is 33010221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220103293) and next prime (1220103307).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1220103307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048519 + ... + 1049681.

It is an arithmetic number, because the mean of its divisors is an integer number (26521740).

Almost surely, 21220103300 is an apocalyptic number.

1220103300 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 1220103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909565280).

1220103300 is an abundant number, since it is smaller than the sum of its proper divisors (2599027260).

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

1220103300 is a wasteful number, since it uses less digits than its factorization.

1220103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1220103300 is about 34929.9770970437. The cubic root of 1220103300 is about 1068.5598875275.

Adding to 1220103300 its reverse (33010221), we get a palindrome (1253113521).

The spelling of 1220103300 in words is "one billion, two hundred twenty million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 269 300 325 390 538 650 780 807 975 1076 1163 1300 1345 1614 1950 2326 2690 3228 3489 3497 3900 4035 4652 5380 5815 6725 6978 6994 8070 10491 11630 13450 13956 13988 15119 16140 17445 17485 20175 20982 23260 26900 29075 30238 34890 34970 40350 41964 45357 52455 58150 60476 69780 69940 75595 80700 87225 87425 90714 104910 116300 151190 174450 174850 181428 209820 226785 262275 302380 312847 348900 349700 377975 453570 524550 625694 755950 907140 938541 1049100 1133925 1251388 1511900 1564235 1877082 2267850 3128470 3754164 4067011 4535700 4692705 6256940 7821175 8134022 9385410 12201033 15642350 16268044 18770820 20335055 23463525 24402066 31284700 40670110 46927050 48804132 61005165 81340220 93854100 101675275 122010330 203350550 244020660 305025825 406701100 610051650 1220103300