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1001311302212 = 22134171633163
BaseRepresentation
bin11101001001000101100…
…11011111001001000100
310112201120002212110221122
432210202303133021010
5112401141143132322
62043555052133112
7132225266431364
oct16444263371104
93481502773848
101001311302212
11356721142731
12142089167198
1373566b60000
143666c66a9a4
151b0a693a442
hexe922cdf244

1001311302212 has 120 divisors (see below), whose sum is σ = 2022950303136. Its totient is φ = 432153626112.

The previous prime is 1001311302151. The next prime is 1001311302223. The reversal of 1001311302212 is 2122031131001.

It is a super-3 number, since 3×10013113022123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 39 ways as a sum of consecutive naturals, for example, 316568543 + ... + 316571705.

Almost surely, 21001311302212 is an apocalyptic number.

It is an amenable number.

1001311302212 is an abundant number, since it is smaller than the sum of its proper divisors (1021639000924).

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

1001311302212 is a wasteful number, since it uses less digits than its factorization.

1001311302212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001311302212 its reverse (2122031131001), we get a palindrome (3123342433213).

The spelling of 1001311302212 in words is "one trillion, one billion, three hundred eleven million, three hundred two thousand, two hundred twelve".

Divisors: 1 2 4 13 17 26 34 52 68 163 169 221 326 338 442 652 676 884 2119 2197 2771 2873 3163 4238 4394 5542 5746 6326 8476 8788 11084 11492 12652 27547 28561 36023 37349 41119 53771 55094 57122 72046 74698 82238 107542 110188 114244 144092 149396 164476 215084 358111 468299 485537 515569 534547 699023 716222 936598 971074 1031138 1069094 1398046 1432444 1873196 1942148 2062276 2138188 2796092 4655443 6087887 6702397 6949111 8764673 9087299 9310886 12175774 13404794 13898222 17529346 18174598 18621772 24351548 26809588 27796444 35058692 36349196 79142531 87131161 90338443 113940749 118134887 158285062 174262322 180676886 227881498 236269774 316570124 348524644 361353772 455762996 472539548 1132705093 1481229737 1535753531 2265410186 2962459474 3071507062 4530820372 5924918948 6143014124 14725166209 19255986581 29450332418 38511973162 58900664836 77023946324 250327825553 500655651106 1001311302212