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212125431102 = 231329317334127
BaseRepresentation
bin1100010110001110101…
…0010011010100111110
3202021112101102101222020
43011203222103110332
511433413102243402
6241241000101010
721216444262044
oct3054352232476
9667471371866
10212125431102
1181a64304042
1235140464766
131700745c990
14a3a4630394
1557b7c1e8bc
hex3163a9353e

212125431102 has 128 divisors (see below), whose sum is σ = 488670658560. Its totient is φ = 60887877120.

The previous prime is 212125431059. The next prime is 212125431103. The reversal of 212125431102 is 201134521212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212125431103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51397363 + ... + 51401489.

It is an arithmetic number, because the mean of its divisors is an integer number (3817739520).

Almost surely, 2212125431102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212125431102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244335329280).

212125431102 is an abundant number, since it is smaller than the sum of its proper divisors (276545227458).

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

212125431102 is a wasteful number, since it uses less digits than its factorization.

212125431102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 212125431102 its reverse (201134521212), we get a palindrome (413259952314).

The spelling of 212125431102 in words is "two hundred twelve billion, one hundred twenty-five million, four hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 13 26 29 31 39 58 62 78 87 93 174 186 377 403 733 754 806 899 1131 1209 1466 1798 2199 2262 2418 2697 4127 4398 5394 8254 9529 11687 12381 19058 21257 22723 23374 24762 28587 35061 42514 45446 53651 57174 63771 68169 70122 107302 119683 127542 127937 136338 160953 239366 255874 276341 295399 321906 359049 383811 552682 590798 658967 718098 767622 829023 886197 1317934 1555879 1658046 1663181 1772394 1976901 3025091 3111758 3326362 3710173 3953802 4667637 4989543 6050182 7420346 8566571 9075273 9335274 9979086 11130519 17133142 18150546 22261038 25699713 39326183 48232249 51399426 78652366 87727639 93777821 96464498 117978549 144696747 175455278 187555642 235957098 263182917 281333463 289393494 526365834 562666926 1140459307 1219111673 2280918614 2438223346 2719556809 3421377921 3657335019 5439113618 6842755842 7314670038 8158670427 16317340854 35354238517 70708477034 106062715551 212125431102