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1301122101132 = 2232723613204151
BaseRepresentation
bin10010111011110000111…
…010111010111110001100
311121101102102210002121100
4102323300322322332030
5132304144224214012
62433421030103100
7163001006244300
oct22736072727614
94541372702540
101301122101132
114618915623a7
121901bb1aaa90
13959067159c9
1446d905dbd00
1523ca26c48dc
hex12ef0ebaf8c

1301122101132 has 108 divisors (see below), whose sum is σ = 3826996236336. Its totient is φ = 371644459200.

The previous prime is 1301122101107. The next prime is 1301122101193. The reversal of 1301122101132 is 2311012211031.

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 35 ways as a sum of consecutive naturals, for example, 6271257 + ... + 6475407.

Almost surely, 21301122101132 is an apocalyptic number.

1301122101132 is a gapful number since it is divisible by the number (12) 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 1301122101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913498118168).

1301122101132 is an abundant number, since it is smaller than the sum of its proper divisors (2525874135204).

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

1301122101132 is a wasteful number, since it uses less digits than its factorization.

1301122101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207788 (or 207776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1301122101132 its reverse (2311012211031), we get a palindrome (3612134312163).

The spelling of 1301122101132 in words is "one trillion, three hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3613 7226 10839 14452 21678 25291 32517 43356 50582 65034 75873 101164 130068 151746 177037 204151 227619 303492 354074 408302 455238 531111 612453 708148 816604 910476 1062222 1224906 1429057 1593333 1837359 2124444 2449812 2858114 3186666 3674718 4287171 5716228 6373332 7349436 8574342 10003399 12861513 17148684 20006798 25723026 30010197 40013596 51446052 60020394 90030591 120040788 180061182 360122364 737597563 1475195126 2212792689 2950390252 4425585378 5163182941 6638378067 8851170756 10326365882 13276756134 15489548823 20652731764 26553512268 30979097646 36142280587 46468646469 61958195292 72284561174 92937292938 108426841761 144569122348 185874585876 216853683522 325280525283 433707367044 650561050566 1301122101132