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102011002201220 = 22572416737893287
BaseRepresentation
bin10111001100011101001001…
…100011001010010010000100
3111101012011020010202002222212
4113030131021203022102010
5101332322013030414340
61000543112451042552
730326023505621600
oct2714351143122204
9441164203662885
10102011002201220
112a55a694359642
12b5364ba2a0458
1344bc799bc5848
141b29504986500
15bbd818623a65
hex5cc7498ca484

102011002201220 has 144 divisors (see below), whose sum is σ = 259086413884032. Its totient is φ = 33612860413440.

The previous prime is 102011002201201. The next prime is 102011002201223. The reversal of 102011002201220 is 22102200110201.

102011002201220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102011002201195 and 102011002201204.

It is not an unprimeable number, because it can be changed into a prime (102011002201223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16254584 + ... + 21638703.

It is an arithmetic number, because the mean of its divisors is an integer number (1799211207528).

Almost surely, 2102011002201220 is an apocalyptic number.

102011002201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011002201220 is an abundant number, since it is smaller than the sum of its proper divisors (157075411682812).

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

102011002201220 is a wasteful number, since it uses less digits than its factorization.

102011002201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37893418 (or 37893409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102011002201220 its reverse (22102200110201), we get a palindrome (124113202311421).

The spelling of 102011002201220 in words is "one hundred two trillion, eleven billion, two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 67 70 82 98 134 140 164 196 205 245 268 287 335 410 469 490 574 670 820 938 980 1148 1340 1435 1876 2009 2345 2747 2870 3283 4018 4690 5494 5740 6566 8036 9380 10045 10988 13132 13735 16415 19229 20090 27470 32830 38458 40180 54940 65660 76916 96145 134603 192290 269206 384580 538412 673015 1346030 2692060 37893287 75786574 151573148 189466435 265253009 378932870 530506018 757865740 1061012036 1326265045 1553624767 1856771063 2538850229 2652530090 3107249534 3713542126 5077700458 5305060180 6214499068 7427084252 7768123835 9283855315 10155400916 10875373369 12694251145 15536247670 17771951603 18567710630 21750746738 25388502290 31072495340 35543903206 37135421260 43501493476 50777004580 54376866845 71087806412 76127613583 88859758015 104092859389 108753733690 124403661221 152255227166 177719516030 208185718778 217507467380 248807322442 304510454332 355439032060 380638067915 416371437556 497614644884 520464296945 622018306105 728650015723 761276135830 1040928593890 1244036612210 1457300031446 1522552271660 2081857187780 2488073224420 2914600062892 3643250078615 5100550110061 7286500157230 10201100220122 14573000314460 20402200440244 25502750550305 51005501100610 102011002201220