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213202231000 = 235311139139439
BaseRepresentation
bin1100011010001111010…
…1111101111011011000
3202101022102121111201221
43012203311331323120
511443114232343000
6241535503421424
721255231030253
oct3064365757330
9671272544657
10213202231000
1182467112810
12353a0bb4874
1317149579795
14a46765009a
15582c52161a
hex31a3d7ded8

213202231000 has 128 divisors (see below), whose sum is σ = 548166528000. Its totient is φ = 76969776000.

The previous prime is 213202230973. The next prime is 213202231027. The reversal of 213202231000 is 132202312.

It is an interprime number because it is at equal distance from previous prime (213202230973) and next prime (213202231027).

It is a super-2 number, since 2×2132022310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459281 + ... + 1598719.

It is an arithmetic number, because the mean of its divisors is an integer number (4282551000).

Almost surely, 2213202231000 is an apocalyptic number.

213202231000 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 213202231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274083264000).

213202231000 is an abundant number, since it is smaller than the sum of its proper divisors (334964297000).

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

213202231000 is a wasteful number, since it uses less digits than its factorization.

213202231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139610 (or 139596 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213202231000 its reverse (132202312), we get a palindrome (213334433312).

The spelling of 213202231000 in words is "two hundred thirteen billion, two hundred two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 139 200 220 250 275 278 440 500 550 556 695 1000 1100 1112 1375 1390 1529 2200 2750 2780 3058 3475 5500 5560 6116 6950 7645 11000 12232 13900 15290 17375 27800 30580 34750 38225 61160 69500 76450 139000 139439 152900 191125 278878 305800 382250 557756 697195 764500 1115512 1394390 1529000 1533829 2788780 3067658 3485975 5577560 6135316 6971950 7669145 12270632 13943900 15338290 17429875 19382021 27887800 30676580 34859750 38345725 38764042 61353160 69719500 76691450 77528084 96910105 139439000 153382900 155056168 191728625 193820210 213202231 306765800 383457250 387640420 426404462 484550525 766914500 775280840 852808924 969101050 1066011155 1533829000 1705617848 1938202100 2132022310 2422752625 3876404200 4264044620 4845505250 5330055775 8528089240 9691010500 10660111550 19382021000 21320223100 26650278875 42640446200 53300557750 106601115500 213202231000