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102212120200110 = 235171956318735713
BaseRepresentation
bin10111001111011000011101…
…000111011100001110101110
3111101220101100101202000122120
4113033120131013130032232
5101344120410232400420
61001215333315453410
730346403423454564
oct2717303507341656
9441811311660576
10102212120200110
112a627a0a208968
12b5694882b7266
13450573ba2800b
141b3514332da34
15bc3b89cd6d40
hex5cf61d1dc3ae

102212120200110 has 128 divisors (see below), whose sum is σ = 273895154680320. Its totient is φ = 24259899211776.

The previous prime is 102212120200081. The next prime is 102212120200121. The reversal of 102212120200110 is 11002021212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102212120200110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3912387 + ... + 14823326.

It is an arithmetic number, because the mean of its divisors is an integer number (2139805895940).

Almost surely, 2102212120200110 is an apocalyptic number.

102212120200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212120200110 is an abundant number, since it is smaller than the sum of its proper divisors (171683034480210).

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

102212120200110 is a wasteful number, since it uses less digits than its factorization.

102212120200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18736322.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212120200110 its reverse (11002021212201), we get a palindrome (113214141412311).

The spelling of 102212120200110 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 563 570 646 969 1126 1615 1689 1938 2815 3230 3378 4845 5630 8445 9571 9690 10697 16890 19142 21394 28713 32091 47855 53485 57426 64182 95710 106970 143565 160455 181849 287130 320910 363698 545547 909245 1091094 1818490 2727735 5455470 18735713 37471426 56207139 93678565 112414278 187357130 281035695 318507121 355978547 562071390 637014242 711957094 955521363 1067935641 1592535605 1779892735 1911042726 2135871282 3185071210 3559785470 4777606815 5339678205 6051635299 9555213630 10548206419 10679356410 12103270598 18154905897 21096412838 30258176495 31644619257 36309811794 52741032095 60516352990 63289238514 90774529485 105482064190 158223096285 179319509123 181549058970 200415921961 316446192570 358639018246 400831843922 537958527369 601247765883 896597545615 1002079609805 1075917054738 1202495531766 1793195091230 2004159219610 2689792636845 3006238829415 3407070673337 5379585273690 6012477658830 6814141346674 10221212020011 17035353366685 20442424040022 34070706733370 51106060100055 102212120200110