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32212123203030 = 23529257433933203
BaseRepresentation
bin1110101001011111110000…
…01010010011010111010110
311020001110010020202211002020
413110233320022103113112
513210230412014444110
6152302013424354010
76533151304356441
oct724577012232726
9136043106684066
1032212123203030
11a29a0a28639a1
123742b12a75906
1314c87898330b4
147d510a04a658
153acda06d5d70
hex1d4bf82935d6

32212123203030 has 128 divisors (see below), whose sum is σ = 80307035020800. Its totient is φ = 8259272146944.

The previous prime is 32212123203019. The next prime is 32212123203041. The reversal of 32212123203030 is 3030232121223.

It is an interprime number because it is at equal distance from previous prime (32212123203019) and next prime (32212123203041).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970140409 + ... + 970173611.

It is an arithmetic number, because the mean of its divisors is an integer number (627398711100).

Almost surely, 232212123203030 is an apocalyptic number.

32212123203030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32212123203030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40153517510400).

32212123203030 is an abundant number, since it is smaller than the sum of its proper divisors (48094911817770).

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

32212123203030 is a wasteful number, since it uses less digits than its factorization.

32212123203030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37838.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32212123203030 its reverse (3030232121223), we get a palindrome (35242355324253).

The spelling of 32212123203030 in words is "thirty-two trillion, two hundred twelve billion, one hundred twenty-three million, two hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 257 290 435 514 771 870 1285 1542 2570 3855 4339 7453 7710 8678 13017 14906 21695 22359 26034 33203 37265 43390 44718 65085 66406 74530 99609 111795 125831 130170 166015 199218 223590 251662 332030 377493 498045 629155 754986 962887 996090 1115123 1258310 1887465 1925774 2230246 2888661 3345369 3774930 4814435 5575615 5777322 6690738 8533171 9628870 11151230 14443305 16726845 17066342 25599513 28886610 32338567 33453690 42665855 51199026 64677134 85331710 97015701 127997565 144067817 161692835 194031402 247461959 255995130 288135634 323385670 432203451 485078505 494923918 720339085 742385877 864406902 970157010 1237309795 1440678170 1484771754 2161017255 2474619590 3711929385 4177966693 4322034510 7423858770 8355933386 12533900079 20889833465 25067800158 37025428969 41779666930 62669500395 74050857938 111076286907 125339000790 185127144845 222152573814 370254289690 555381434535 1073737440101 1110762869070 2147474880202 3221212320303 5368687200505 6442424640606 10737374401010 16106061601515 32212123203030