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13212202120 = 23513172935101
BaseRepresentation
bin11000100111000001…
…00011010010001000
31021002210002102001021
430103200203102020
5204024310431440
610023011202224
7645260602465
oct142340432210
937083072037
1013212202120
11566aa42007
1226888a6374
13132733bca0
148d4a0666c
15524dbb84a
hex313823488

13212202120 has 128 divisors (see below), whose sum is σ = 34019727840. Its totient is φ = 4574822400.

The previous prime is 13212202099. The next prime is 13212202147. The reversal of 13212202120 is 2120221231.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 364886404 + 12847315716 = 19102^2 + 113346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13212202094 and 13212202103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587570 + ... + 2592670.

Almost surely, 213212202120 is an apocalyptic number.

13212202120 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 13212202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17009863920).

13212202120 is an abundant number, since it is smaller than the sum of its proper divisors (20807525720).

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

13212202120 is a wasteful number, since it uses less digits than its factorization.

13212202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13212202120 its reverse (2120221231), we get a palindrome (15332423351).

The spelling of 13212202120 in words is "thirteen billion, two hundred twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 293 340 442 520 586 680 884 1105 1172 1465 1768 2210 2344 2930 3809 4420 4981 5101 5860 7618 8840 9962 10202 11720 15236 19045 19924 20404 24905 25505 30472 38090 39848 40808 49810 51010 64753 66313 76180 86717 99620 102020 129506 132626 152360 173434 199240 204040 259012 265252 323765 331565 346868 433585 518024 530504 647530 663130 693736 867170 1127321 1295060 1326260 1494593 1734340 2254642 2590120 2652520 2989186 3468680 4509284 5636605 5978372 7472965 9018568 11273210 11956744 14945930 19429709 22546420 25408081 29891860 38859418 45092840 50816162 59783720 77718836 97148545 101632324 127040405 155437672 194297090 203264648 254080810 330305053 388594180 508161620 660610106 777188360 1016323240 1321220212 1651525265 2642440424 3303050530 6606101060 13212202120