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2110110010020 = 22325194713127473
BaseRepresentation
bin11110101101001100010…
…110111000101010100100
321110201120012020220201100
4132231030112320222210
5234033001130310040
64253212100400100
7305310331101315
oct36551426705244
97421505226640
102110110010020
117439900aa071
122a0b536a6030
13123ca079b05c
14741b650c60c
1539d4eaa5b30
hex1eb4c5b8aa4

2110110010020 has 144 divisors (see below), whose sum is σ = 6880896771840. Its totient is φ = 521738247168.

The previous prime is 2110110010007. The next prime is 2110110010049. The reversal of 2110110010020 is 200100110112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2110110009984 and 2110110010011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6402997 + ... + 6724476.

It is an arithmetic number, because the mean of its divisors is an integer number (47784005360).

Almost surely, 22110110010020 is an apocalyptic number.

2110110010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110110010020 is an abundant number, since it is smaller than the sum of its proper divisors (4770786761820).

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

2110110010020 is a wasteful number, since it uses less digits than its factorization.

2110110010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13127554 (or 13127549 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2110110010020 its reverse (200100110112), we get a palindrome (2310210120132).

The spelling of 2110110010020 in words is "two trillion, one hundred ten billion, one hundred ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 90 94 95 114 141 171 180 188 190 228 235 282 285 342 380 423 470 564 570 684 705 846 855 893 940 1140 1410 1692 1710 1786 2115 2679 2820 3420 3572 4230 4465 5358 8037 8460 8930 10716 13395 16074 17860 26790 32148 40185 53580 80370 160740 13127473 26254946 39382419 52509892 65637365 78764838 118147257 131274730 157529676 196912095 236294514 249421987 262549460 393824190 472589028 498843974 590736285 616991231 748265961 787648380 997687948 1181472570 1233982462 1247109935 1496531922 1850973693 2244797883 2362945140 2467964924 2494219870 2993063844 3084956155 3701947386 3741329805 4489595766 4988439740 5552921079 6169912310 7403894772 7482659610 8979191532 9254868465 11105842158 11223989415 11722833389 12339824620 14965319220 18509736930 22211684316 22447978830 23445666778 27764605395 35168500167 37019473860 44895957660 46891333556 55529210790 58614166945 70337000334 105505500501 111058421580 117228333890 140674000668 175842500835 211011001002 234456667780 351685001670 422022002004 527527502505 703370003340 1055055005010 2110110010020