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21000112100022 = 231117127173851881
BaseRepresentation
bin1001100011001011110000…
…01110001101001010110110
32202100120221220211012110110
410301211320032031022312
510223031212144200042
6112355152431203450
74265131232430066
oct461457016151266
982316856735413
1021000112100022
116767108899380
122431b67076586
13b943c086b743
145285a75253a6
152663db39209c
hex13197838d2b6

21000112100022 has 128 divisors (see below), whose sum is σ = 49178316423168. Its totient is φ = 5907821875200.

The previous prime is 21000112099927. The next prime is 21000112100027. The reversal of 21000112100022 is 22000121100012.

It is a junction number, because it is equal to n+sod(n) for n = 21000112099980 and 21000112100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000112100027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24225522 + ... + 25077402.

It is an arithmetic number, because the mean of its divisors is an integer number (384205597056).

Almost surely, 221000112100022 is an apocalyptic number.

21000112100022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000112100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24589158211584).

21000112100022 is an abundant number, since it is smaller than the sum of its proper divisors (28178204323146).

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

21000112100022 is a wasteful number, since it uses less digits than its factorization.

21000112100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852214.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000112100022 its reverse (22000121100012), we get a palindrome (43000233200034).

The spelling of 21000112100022 in words is "twenty-one trillion, one hundred twelve million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 127 173 187 254 346 374 381 519 561 762 1038 1122 1397 1903 2159 2794 2941 3806 4191 4318 5709 5882 6477 8382 8823 11418 12954 17646 21971 23749 32351 43942 47498 64702 65913 71247 97053 131826 142494 194106 241681 373507 483362 725043 747014 851881 1120521 1450086 1703762 2241042 2555643 4108577 5111286 8217154 9370691 12325731 14481977 18741382 24651462 28112073 28963954 43445931 56224146 86891862 108188887 147375413 159301747 216377774 294750826 318603494 324566661 442126239 477905241 649133322 884252478 955810482 1190077757 1621129543 1839211079 2380155514 2505382021 3242259086 3570233271 3678422158 4863388629 5010764042 5517633237 7140466542 7516146063 9726777258 11035266474 15032292126 18716677451 20231321869 27559202231 37433354902 40462643738 55118404462 56150032353 60693965607 82677606693 112300064706 121387931214 165355213386 205883451961 318183516667 411766903922 617650355883 636367033334 954550550001 1235300711766 1909101100002 3500018683337 7000037366674 10500056050011 21000112100022