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120220312331032 = 231719612833269221
BaseRepresentation
bin11011010101011011111001…
…000000101110001100011000
3120202122221122021022001022121
4123111123321000232030120
5111224142144424043112
61103404240554431024
734215426261123154
oct3325337100561430
9522587567261277
10120220312331032
113534016a1a0351
1211597603432474
13521095aa4b124
1421989a0ada064
15dd7315e8d407
hex6d56f902e318

120220312331032 has 128 divisors (see below), whose sum is σ = 255444079550400. Its totient is φ = 52699233484800.

The previous prime is 120220312330961. The next prime is 120220312331087. The reversal of 120220312331032 is 230133213022021.

It is a junction number, because it is equal to n+sod(n) for n = 120220312330988 and 120220312331006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446414182 + ... + 446683402.

Almost surely, 2120220312331032 is an apocalyptic number.

It is an amenable number.

120220312331032 is an abundant number, since it is smaller than the sum of its proper divisors (135223767219368).

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

120220312331032 is a wasteful number, since it uses less digits than its factorization.

120220312331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272157 (or 272153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 120220312331032 its reverse (230133213022021), we get a palindrome (350353525353053).

The spelling of 120220312331032 in words is "one hundred twenty trillion, two hundred twenty billion, three hundred twelve million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 17 19 34 38 61 68 76 122 136 152 244 323 488 646 1037 1159 1292 2074 2318 2584 2833 4148 4636 5666 8296 9272 11332 19703 22664 39406 48161 53827 78812 96322 107654 157624 172813 192644 215308 269221 345626 385288 430616 538442 691252 915059 1076884 1382504 1830118 2153768 2937821 3283447 3660236 4576757 5115199 5875642 6566894 7320472 9153514 10230398 11751284 13133788 16422481 18307028 20460796 23502568 26267576 32844962 36614056 40921592 55818599 65689924 86958383 111637198 131379848 173916766 223274396 279182177 312027139 347833532 446548792 558364354 624054278 695667064 762703093 1116728708 1248108556 1525406186 2233457416 2496217112 3050812372 5304461363 6101624744 10608922726 12965952581 14491358767 21217845452 25931905162 28982717534 42435690904 46524888673 51863810324 57965435068 93049777346 103727620648 115930870136 186099554692 246353099039 372199109384 492706198078 790923107441 883972884787 985412396156 1581846214882 1767945769574 1970824792312 3163692429764 3535891539148 6327384859528 7071783078296 15027539041379 30055078082758 60110156165516 120220312331032