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103000122120 = 23357472608919
BaseRepresentation
bin101111111101101001…
…0010010001100001000
3100211212020220100002210
41133323102102030020
53141421012401440
6115152334025120
710304303410140
oct1377322221410
9324766810083
10103000122120
113a75597a275
1217b666481a0
13993623772c
144db1699920
152a2c804a80
hex17fb492308

103000122120 has 128 divisors (see below), whose sum is σ = 360657100800. Its totient is φ = 23041963776.

The previous prime is 103000122119. The next prime is 103000122131. The reversal of 103000122120 is 21221000301.

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 = 103000122096 and 103000122105.

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, 1264980 + ... + 1343939.

It is an arithmetic number, because the mean of its divisors is an integer number (2817633600).

Almost surely, 2103000122120 is an apocalyptic number.

103000122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103000122120 is an abundant number, since it is smaller than the sum of its proper divisors (257656978680).

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

103000122120 is a wasteful number, since it uses less digits than its factorization.

103000122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608987 (or 2608983 counting only the distinct ones).

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

Adding to 103000122120 its reverse (21221000301), we get a palindrome (124221122421).

The spelling of 103000122120 in words is "one hundred three billion, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 2608919 5217838 7826757 10435676 13044595 15653514 18262433 20871352 26089190 31307028 36524866 39133785 52178380 54787299 62614056 73049732 78267570 91312165 104356760 109574598 122619193 146099464 156535140 182624330 219149196 245238386 273936495 313070280 365248660 367857579 438298392 490476772 547872990 613095965 730497320 735715158 858334351 980953544 1095745980 1226191930 1471430316 1716668702 1839287895 2191491960 2452383860 2575003053 2942860632 3433337404 3678575790 4291671755 4904767720 5150006106 6866674808 7357151580 8583343510 10300012212 12875015265 14714303160 17166687020 20600024424 25750030530 34333374040 51500061060 103000122120