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210021201211120 = 245131108811821263
BaseRepresentation
bin101111110000001101011111…
…000101111110111011110000
31000112121211102121200102112021
4233300031133011332323300
5210011441410002223440
62022402224034041224
762144350103210215
oct5760153705767360
91015554377612467
10210021201211120
1160a1254492a052
121b67b623419214
139025bb691b830
1439c111a7a1b0c
15194320042784a
hexbf035f17eef0

210021201211120 has 80 divisors (see below), whose sum is σ = 525865808184192. Its totient is φ = 77545547735040.

The previous prime is 210021201211111. The next prime is 210021201211123. The reversal of 210021201211120 is 21112102120012.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 210021201211094 and 210021201211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021201211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114405609 + ... + 116226871.

Almost surely, 2210021201211120 is an apocalyptic number.

210021201211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021201211120 is an abundant number, since it is smaller than the sum of its proper divisors (315844606973072).

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

210021201211120 is a wasteful number, since it uses less digits than its factorization.

210021201211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932170 (or 1932164 counting only the distinct ones).

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

Adding to 210021201211120 its reverse (21112102120012), we get a palindrome (231133303331132).

The spelling of 210021201211120 in words is "two hundred ten trillion, twenty-one billion, two hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 110881 221762 443524 554405 887048 1108810 1441453 1774096 1821263 2217620 2882906 3642526 4435240 5765812 7207265 7285052 8870480 9106315 11531624 14414530 14570104 18212630 23063248 23676419 28829060 29140208 36425260 47352838 57658120 72850520 94705676 115316240 118382095 145701040 189411352 236764190 378822704 473528380 947056760 1894113520 201943462703 403886925406 807773850812 1009717313515 1615547701624 2019434627030 2625265015139 3231095403248 4038869254060 5250530030278 8077738508120 10501060060556 13126325075695 16155477016240 21002120121112 26252650151390 42004240242224 52505300302780 105010600605560 210021201211120