Search a number
-
+
1202201201096 = 237598919720753
BaseRepresentation
bin10001011111101000110…
…001101000100111001000
311020221002110122201012222
4101133220301220213020
5124144102001413341
62320141131553212
7152566444413650
oct21375061504710
94227073581188
101202201201096
1142393a267055
12174bb28bb808
13894a0649c6c
14422889d9360
152141309344b
hex117e8c689c8

1202201201096 has 128 divisors (see below), whose sum is σ = 2662821216000. Its totient is φ = 498239250432.

The previous prime is 1202201201077. The next prime is 1202201201141. The reversal of 1202201201096 is 6901021022021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57918656 + ... + 57939408.

It is an arithmetic number, because the mean of its divisors is an integer number (20803290750).

Almost surely, 21202201201096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202201201096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331410608000).

1202201201096 is an abundant number, since it is smaller than the sum of its proper divisors (1460620014904).

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

1202201201096 is a wasteful number, since it uses less digits than its factorization.

1202201201096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21111 (or 21107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 1202201201096 in words is "one trillion, two hundred two billion, two hundred one million, two hundred one thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 56 59 89 118 178 197 236 356 394 413 472 623 712 788 826 1246 1379 1576 1652 2492 2758 3304 4984 5251 5516 10502 11032 11623 17533 20753 21004 23246 35066 36757 41506 42008 46492 70132 73514 81361 83012 92984 122731 140264 145271 147028 162722 166024 245462 290542 294056 325444 490924 581084 650888 981848 1034447 1162168 1224427 1847017 2068894 2448854 3694034 4088341 4137788 4897708 7241129 7388068 8176682 8275576 8570989 9795416 12929119 14482258 14776136 16353364 17141978 25858238 28618387 28964516 32706728 34283956 51716476 57236774 57929032 68567912 103432952 108974003 114473548 217948006 228947096 241212119 363862349 435896012 482424238 727724698 762818021 871792024 964848476 1455449396 1525636042 1688484833 1929696952 2547036443 2910898792 3051272084 3376969666 5094072886 6102544168 6753939332 10188145772 13507878664 20376291544 21467878591 42935757182 85871514364 150275150137 171743028728 300550300274 601100600548 1202201201096