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22101010133103 = 321119157193387763
BaseRepresentation
bin1010000011001110010101…
…10110111011000001101111
32220020211120101200202222200
411001213022312323001233
510344100332043224403
6115001021444512543
74440513430341636
oct501471266730157
986224511622880
1022101010133103
117050a93058970
12258b3a76ab753
13c44168702025
145659a1d9651d
15284d70ad1ca3
hex1419cadbb06f

22101010133103 has 96 divisors (see below), whose sum is σ = 37083515439360. Its totient is φ = 12543387217920.

The previous prime is 22101010133101. The next prime is 22101010133113. The reversal of 22101010133103 is 30133101010122.

22101010133103 is a `hidden beast` number, since 221 + 0 + 10 + 101 + 331 + 0 + 3 = 666.

It is not a de Polignac number, because 22101010133103 - 21 = 22101010133101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101010133101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56802300 + ... + 57190062.

It is an arithmetic number, because the mean of its divisors is an integer number (386286619160).

Almost surely, 222101010133103 is an apocalyptic number.

22101010133103 is a deficient number, since it is larger than the sum of its proper divisors (14982505306257).

22101010133103 is a wasteful number, since it uses less digits than its factorization.

22101010133103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388149 (or 388146 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 22101010133103 its reverse (30133101010122), we get a palindrome (52234111143225).

The spelling of 22101010133103 in words is "twenty-two trillion, one hundred one billion, ten million, one hundred thirty-three thousand, one hundred three".

Divisors: 1 3 9 11 19 33 57 99 157 171 193 209 471 579 627 1413 1727 1737 1881 2123 2983 3667 5181 6369 8949 11001 15543 19107 26847 30301 32813 33003 40337 90903 98439 121011 272709 295317 333311 363033 387763 575719 999933 1163289 1727157 2999799 3489867 4265393 5181471 6332909 7367497 12796179 18998727 22102491 38388537 56996181 60878791 66307473 74838259 81042467 182636373 224514777 243127401 547909119 669666701 673544331 729382203 823220849 1156697029 1421926921 2009000103 2469662547 3470091087 4265780763 6027000309 7408987641 10410273261 11749606663 12723667319 12797342289 15641196131 35248819989 38171001957 46923588393 105746459967 114513005871 129245673293 140770765179 223242526597 387737019879 669727579791 1163211059637 2009182739373 2455667792567 7367003377701 22101010133103