Search a number
-
+
102210111212020 = 225721713147466651
BaseRepresentation
bin10111001111010110100101…
…010111110000100111110100
3111101220012011101110212002021
4113033112211113300213310
5101344102301432241040
61001214402112122524
730346302560366500
oct2717264527604764
9441805141425067
10102210111212020
112a627079192429
12b569007536444
1345054ab754876
141b34dd25b5300
15bc3abd74b24a
hex5cf5a55f09f4

102210111212020 has 144 divisors (see below), whose sum is σ = 264392711053632. Its totient is φ = 32979506918400.

The previous prime is 102210111211997. The next prime is 102210111212081. The reversal of 102210111212020 is 20212111012201.

It is a super-3 number, since 3×1022101112120203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210111211985 and 102210111212003.

It is a congruent number.

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, 218795695 + ... + 219262345.

It is an arithmetic number, because the mean of its divisors is an integer number (1836060493428).

Almost surely, 2102210111212020 is an apocalyptic number.

102210111212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210111212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132196355526816).

102210111212020 is an abundant number, since it is smaller than the sum of its proper divisors (162182599841612).

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

102210111212020 is a wasteful number, since it uses less digits than its factorization.

102210111212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479838 (or 479829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102210111212020 its reverse (20212111012201), we get a palindrome (122422222224221).

The spelling of 102210111212020 in words is "one hundred two trillion, two hundred ten billion, one hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 13147 16660 26294 52588 65735 92029 131470 184058 223499 262940 368116 446998 460145 466651 644203 893996 920290 933302 1117495 1288406 1564493 1840580 1866604 2234990 2333255 2576812 3128986 3221015 3266557 4469980 4666510 6257972 6442030 6533114 7822465 7933067 9333020 10951451 12884060 13066228 15644930 15866134 16332785 21902902 22865899 31289860 31732268 32665570 39665335 43805804 45731798 54757255 55531469 65331140 79330670 91463596 109514510 111062938 114329495 158661340 219029020 222125876 228658990 277657345 388720283 457317980 555314690 777440566 1110629380 1554881132 1943601415 3887202830 6135060697 7774405660 12270121394 24540242788 30675303485 42945424879 61350606970 85890849758 104296031849 122701213940 171781699516 208592063698 214727124395 300617974153 417184127396 429454248790 521480159245 601235948306 730072222943 858908497580 1042960318490 1202471896612 1460144445886 1503089870765 2085920636980 2920288891772 3006179741530 3650361114715 5110505560601 6012359483060 7300722229430 10221011121202 14601444458860 20442022242404 25552527803005 51105055606010 102210111212020