Search a number
-
+
2220101121210 = 235767941167683
BaseRepresentation
bin100000010011101000010…
…101101011010010111010
321212020110122221021221020
4200103220111223102322
5242333231341334320
64415522251523310
7316253114111010
oct40235025532272
97766418837836
102220101121210
117865a3228955
122ba32b459536
1313147c1a50bb
147964c45a8b0
153cb3aee4940
hex204e856b4ba

2220101121210 has 128 divisors (see below), whose sum is σ = 6186911791104. Its totient is φ = 499343581440.

The previous prime is 2220101121023. The next prime is 2220101121211. The reversal of 2220101121210 is 121211010222.

It is a super-2 number, since 2×22201011212102 (a number of 25 digits) contains 22 as substring.

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 2220101121210.

It is not an unprimeable number, because it can be changed into a prime (2220101121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13156029 + ... + 13323711.

It is an arithmetic number, because the mean of its divisors is an integer number (48335248368).

Almost surely, 22220101121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220101121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093455895552).

2220101121210 is an abundant number, since it is smaller than the sum of its proper divisors (3966810669894).

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

2220101121210 is a wasteful number, since it uses less digits than its factorization.

2220101121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168708.

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

Adding to 2220101121210 its reverse (121211010222), we get a palindrome (2341312131432).

The spelling of 2220101121210 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 941 1005 1407 1882 2010 2345 2814 2823 4690 4705 5646 6587 7035 9410 13174 14070 14115 19761 28230 32935 39522 63047 65870 98805 126094 167683 189141 197610 315235 335366 378282 441329 503049 630470 838415 882658 945705 1006098 1173781 1323987 1676830 1891410 2206645 2347562 2515245 2647974 3521343 4413290 5030490 5868905 6619935 7042686 11234761 11737810 13239870 17606715 22469522 33704283 35213430 56173805 67408566 78643327 112347610 157286654 157789703 168521415 235929981 315579406 337042830 393216635 471859962 473369109 786433270 788948515 946738218 1104527921 1179649905 1577897030 2209055842 2359299810 2366845545 3313583763 4733691090 5522639605 6627167526 10571910101 11045279210 16567918815 21143820202 31715730303 33135837630 52859550505 63431460606 74003370707 105719101010 148006741414 158578651515 222010112121 317157303030 370016853535 444020224242 740033707070 1110050560605 2220101121210