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210022101211120 = 24511222679570577
BaseRepresentation
bin101111110000001110010100…
…101111001101011111110000
31000112121220202100012011102121
4233300032110233031133300
5210012000230402223440
62022402453224124024
762144411312116012
oct5760162457153760
91015556670164377
10210022101211120
1160a12966961400
121b67b834906614
139025ccb215203
1439c11a411c1b2
15194325445434a
hexbf0394bcd7f0

210022101211120 has 120 divisors (see below), whose sum is σ = 536964782023152. Its totient is φ = 76337976760320.

The previous prime is 210022101211103. The next prime is 210022101211183. The reversal of 210022101211120 is 21112101220012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210022101211094 and 210022101211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17159272 + ... + 26729848.

Almost surely, 2210022101211120 is an apocalyptic number.

210022101211120 is a gapful number since it is divisible by the number (20) 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 210022101211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268482391011576).

210022101211120 is an abundant number, since it is smaller than the sum of its proper divisors (326942680812032).

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

210022101211120 is a wasteful number, since it uses less digits than its factorization.

210022101211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572879 (or 9572862 counting only the distinct ones).

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

Adding to 210022101211120 its reverse (21112101220012), we get a palindrome (231134202431132).

The spelling of 210022101211120 in words is "two hundred ten trillion, twenty-two billion, one hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2267 2420 4534 4840 9068 9680 11335 18136 22670 24937 36272 45340 49874 90680 99748 124685 181360 199496 249370 274307 398992 498740 548614 997480 1097228 1371535 1994960 2194456 2743070 4388912 5486140 9570577 10972280 19141154 21944560 38282308 47852885 76564616 95705770 105276347 153129232 191411540 210552694 382823080 421105388 526381735 765646160 842210776 1052763470 1158039817 1684421552 2105526940 2316079634 4211053880 4632159268 5790199085 8422107760 9264318536 11580398170 18528637072 21696498059 23160796340 43392996118 46321592680 86785992236 92643185360 108482490295 173571984472 216964980590 238661478649 347143968944 433929961180 477322957298 867859922360 954645914596 1193307393245 1735719844720 1909291829192 2386614786490 2625276265139 3818583658384 4773229572980 5250552530278 9546459145960 10501105060556 13126381325695 19092918291920 21002210121112 26252762651390 42004420242224 52505525302780 105011050605560 210022101211120