Search a number
-
+
101331202021122 = 23374759891849483
BaseRepresentation
bin10111000010100100000010…
…010011010001011100000010
3111021210011112200202212212210
4113002210002103101130002
5101240202300204133442
6555302524522002550
730225636435466353
oct2702440223213402
9437704480685783
10101331202021122
112a318359929687
12b4467ba646456
134470650656878
141b046562ddd2a
15baacccb0819c
hex5c29024d1702

101331202021122 has 128 divisors (see below), whose sum is σ = 218600131276800. Its totient is φ = 31264472295936.

The previous prime is 101331202021009. The next prime is 101331202021129. The reversal of 101331202021122 is 221120202133101.

It is not an unprimeable number, because it can be changed into a prime (101331202021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53864193 + ... + 55713675.

It is an arithmetic number, because the mean of its divisors is an integer number (1707813525600).

Almost surely, 2101331202021122 is an apocalyptic number.

101331202021122 is an abundant number, since it is smaller than the sum of its proper divisors (117268929255678).

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

101331202021122 is a wasteful number, since it uses less digits than its factorization.

101331202021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849720.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101331202021122 its reverse (221120202133101), we get a palindrome (322451404154223).

The spelling of 101331202021122 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 47 59 74 89 94 111 118 141 177 178 222 267 282 354 534 1739 2183 2773 3293 3478 4183 4366 5217 5251 5546 6549 6586 8319 8366 9879 10434 10502 12549 13098 15753 16638 19758 25098 31506 102601 154771 194287 205202 246797 307803 309542 388574 464313 493594 582861 615606 740391 928626 1165722 1480782 1849483 3698966 5548449 9131489 11096898 18262978 27394467 54788934 68430871 86925701 109119497 136861742 164603987 173851402 205292613 218238994 260777103 327358491 329207974 410585226 493811961 521554206 654716982 987623922 3216250937 4037421389 5128616359 6090347519 6432501874 7736387389 8074842778 9648752811 9711635233 10257232718 12112264167 12180695038 15385849077 15472774778 18271042557 19297505622 19423270466 23209162167 24224528334 29134905699 30771698154 36542085114 46418324334 58269811398 189758805283 286246333393 359330503621 379517610566 456446855951 569276415849 572492666786 718661007242 858739000179 912893711902 1077991510863 1138552831698 1369340567853 1717478000358 2155983021726 2738681135706 16888533670187 33777067340374 50665601010561 101331202021122