Search a number
-
+
31210122040041 = 37293714926893457
BaseRepresentation
bin1110001100010101011000…
…01111001101001011101001
311002111122210001210210001110
413012022230033031023221
513042321312220240131
6150213422050140533
76400566630123120
oct706125417151351
9132448701723043
1031210122040041
119a4315827769a
123600892881749
131455142aa3a59
1479c813d24ab7
15391ca842c646
hex1c62ac3cd2e9

31210122040041 has 128 divisors (see below), whose sum is σ = 50900653440000. Its totient is φ = 16630545383424.

The previous prime is 31210122039991. The next prime is 31210122040049. The reversal of 31210122040041 is 14004022101213.

It is not a de Polignac number, because 31210122040041 - 26 = 31210122039977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (31210122040049) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 9028092585 + ... + 9028096041.

It is an arithmetic number, because the mean of its divisors is an integer number (397661355000).

Almost surely, 231210122040041 is an apocalyptic number.

It is an amenable number.

31210122040041 is a deficient number, since it is larger than the sum of its proper divisors (19690531399959).

31210122040041 is a wasteful number, since it uses less digits than its factorization.

31210122040041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 31210122040041 its reverse (14004022101213), we get a palindrome (45214144141254).

The spelling of 31210122040041 in words is "thirty-one trillion, two hundred ten billion, one hundred twenty-two million, forty thousand, forty-one".

Divisors: 1 3 7 21 29 37 87 111 149 203 259 447 609 777 1043 1073 2689 3129 3219 3457 4321 5513 7511 8067 10371 12963 16539 18823 22533 24199 30247 38591 56469 72597 77981 90741 99493 100253 115773 127909 159877 233943 298479 300759 383727 400661 479631 515093 545867 696451 701771 895363 1119139 1201983 1545279 1637601 2089353 2105313 2686089 2804627 2885297 3357417 3605651 3709361 8413881 8655891 9295873 10816953 11128083 11619169 14824457 14937697 19058441 20197079 25965527 27887619 34857507 44473371 44813091 57175323 60591237 65071111 77896581 81334183 103771199 104563879 133409087 195213333 244002549 269580317 311313597 313691637 343947301 400227261 429909253 552694789 808740951 1031841903 1289727759 1385085077 1658084367 1887062219 2407631107 3009364771 3868863523 4155255231 5661186657 7222893321 9028094313 9695595539 9974471729 11606590569 29086786617 29923415187 40167467233 51248147849 69821302103 120502401699 153744443547 209463906309 281172270631 358737034943 843516811893 1076211104829 1486196287621 4458588862863 10403374013347 31210122040041