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101032021323093 = 371723344312832137
BaseRepresentation
bin10110111110001101011001…
…101111011110110101010101
3111020201120022021111201011010
4112332031121233132311111
5101220302034424314333
6554513245253202433
730165215446511340
oct2676153157366525
9436646267451133
10101032021323093
112a212492157053
12b3b8823630419
13444b3814a8633
141ad3d93d0d457
15ba311c335563
hex5be359bded55

101032021323093 has 128 divisors (see below), whose sum is σ = 164283533586432. Its totient is φ = 53913900957696.

The previous prime is 101032021323067. The next prime is 101032021323109. The reversal of 101032021323093 is 390323120230101.

It is not a de Polignac number, because 101032021323093 - 25 = 101032021323061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101032021323093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032021323593) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47277500721 + ... + 47277502857.

It is an arithmetic number, because the mean of its divisors is an integer number (1283465106144).

Almost surely, 2101032021323093 is an apocalyptic number.

It is an amenable number.

101032021323093 is a deficient number, since it is larger than the sum of its proper divisors (63251512263339).

101032021323093 is a wasteful number, since it uses less digits than its factorization.

101032021323093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123.

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 101032021323093 its reverse (390323120230101), we get a palindrome (491355141553194).

The spelling of 101032021323093 in words is "one hundred one trillion, thirty-two billion, twenty-one million, three hundred twenty-three thousand, ninety-three".

Divisors: 1 3 7 17 21 51 119 233 357 443 699 1283 1329 1631 2137 3101 3849 3961 4893 6411 7531 8981 9303 11883 14959 21811 22593 26943 27727 36329 44877 52717 65433 83181 103219 108987 152677 158151 254303 298939 309657 458031 497921 568369 722533 762909 896817 946691 1493763 1705107 1754723 2092573 2167599 2741771 2840073 3485447 3978583 5081963 5264169 6277719 6626837 8225313 8464657 9662273 10456341 11935749 12283061 15245889 16093747 19192397 19880511 25393971 28986819 35573741 36849183 46610107 48281241 57577191 59252599 67635911 106721223 112656229 132429977 139830321 177757797 202907733 220579003 326270749 337968687 397289931 638832643 661737009 927009839 978812247 1214604553 1544053021 1916497929 2251309609 2781029517 3643813659 3749843051 4471828501 4632159063 6753928827 8502231871 10860154931 11249529153 13415485503 15759167263 20648277401 25506695613 26248901357 32580464793 47277501789 61944832203 76021084517 78746704071 144537941807 228063253551 283002860849 433613825421 849008582547 1981020025943 4811048634433 5943060077829 14433145903299 33677340441031 101032021323093