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103222300140 = 223252980924443
BaseRepresentation
bin110000000100010000…
…1110100110111101100
3100212102201222011001100
41200020201310313230
53142344402101030
6115230352043100
710312642034361
oct1401041646754
9325381864040
10103222300140
113a85a32a973
1218008b33490
13997028860b
144dd2db2468
152a42090360
hex1808874dec

103222300140 has 144 divisors (see below), whose sum is σ = 324318103200. Its totient is φ = 26542838784.

The previous prime is 103222300133. The next prime is 103222300151. The reversal of 103222300140 is 41003222301.

103222300140 is a `hidden beast` number, since 1 + 0 + 3 + 222 + 300 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210759 + ... + 4235201.

It is an arithmetic number, because the mean of its divisors is an integer number (2252209050).

Almost surely, 2103222300140 is an apocalyptic number.

103222300140 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 103222300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162159051600).

103222300140 is an abundant number, since it is smaller than the sum of its proper divisors (221095803060).

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

103222300140 is a wasteful number, since it uses less digits than its factorization.

103222300140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25296 (or 25291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103222300140 its reverse (41003222301), we get a palindrome (144225522441).

The spelling of 103222300140 in words is "one hundred three billion, two hundred twenty-two million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 809 870 1044 1305 1618 1740 2427 2610 3236 4045 4854 5220 7281 8090 9708 12135 14562 16180 23461 24270 24443 29124 36405 46922 48540 48886 70383 72810 73329 93844 97772 117305 122215 140766 145620 146658 211149 219987 234610 244430 281532 293316 351915 366645 422298 439974 469220 488860 703830 708847 733290 844596 879948 1055745 1099935 1407660 1417694 1466580 2111490 2126541 2199870 2835388 3544235 4222980 4253082 4399740 6379623 7088470 8506164 10632705 12759246 14176940 19774387 21265410 25518492 31898115 39548774 42530820 59323161 63796230 79097548 98871935 118646322 127592460 177969483 197743870 237292644 296615805 355938966 395487740 573457223 593231610 711877932 889847415 1146914446 1186463220 1720371669 1779694830 2293828892 2867286115 3440743338 3559389660 5161115007 5734572230 6881486676 8601858345 10322230014 11469144460 17203716690 20644460028 25805575035 34407433380 51611150070 103222300140