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103132201120 = 2551383597383
BaseRepresentation
bin110000000001100101…
…0001000000010100000
3100212012110102122102121
41200003022020002200
53142203320413440
6115213412554024
710310466150124
oct1400312100240
9325173378377
10103132201120
113a813491173
1217ba2922914
1399577005a0
144dc503b584
152a391e434a
hex18032880a0

103132201120 has 96 divisors (see below), whose sum is σ = 265553914752. Its totient is φ = 37620728832.

The previous prime is 103132201103. The next prime is 103132201121. The reversal of 103132201120 is 21102231301.

It is a super-2 number, since 2×1031322011202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103132201094 and 103132201103.

It is not an unprimeable number, because it can be changed into a prime (103132201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126052 + ... + 471331.

It is an arithmetic number, because the mean of its divisors is an integer number (2766186612).

Almost surely, 2103132201120 is an apocalyptic number.

103132201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132201120 is an abundant number, since it is smaller than the sum of its proper divisors (162421713632).

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

103132201120 is a wasteful number, since it uses less digits than its factorization.

103132201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597494 (or 597486 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103132201120 its reverse (21102231301), we get a palindrome (124234432421).

The spelling of 103132201120 in words is "one hundred three billion, one hundred thirty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 208 260 332 415 416 520 664 830 1040 1079 1328 1660 2080 2158 2656 3320 4316 5395 6640 8632 10790 13280 17264 21580 34528 43160 86320 172640 597383 1194766 2389532 2986915 4779064 5973830 7765979 9558128 11947660 15531958 19116256 23895320 31063916 38829895 47790640 49582789 62127832 77659790 95581280 99165578 124255664 155319580 198331156 247913945 248511328 310639160 396662312 495827890 621278320 644576257 793324624 991655780 1242556640 1289152514 1586649248 1983311560 2578305028 3222881285 3966623120 5156610056 6445762570 7933246240 10313220112 12891525140 20626440224 25783050280 51566100560 103132201120