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32213230022100 = 22352712276662371
BaseRepresentation
bin1110101001100001110100…
…01000011110110111010100
311020001112222101110001102010
413110300322020132313110
513210240143341201400
6152302315323344220
76533220604233261
oct724607210366724
9136045871401363
1032213230022100
11a29a6106064a6
123743181682070
1314c8904c3081a
147d51b3042268
153ace17967450
hex1d4c3a21edd4

32213230022100 has 144 divisors (see below), whose sum is σ = 94932724916736. Its totient is φ = 8431895472000.

The previous prime is 32213230022069. The next prime is 32213230022107. The reversal of 32213230022100 is 122003231223.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213230022107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1503915 + ... + 8166285.

It is an arithmetic number, because the mean of its divisors is an integer number (659255034144).

Almost surely, 232213230022100 is an apocalyptic number.

32213230022100 is a gapful number since it is divisible by the number (30) 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 32213230022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47466362458368).

32213230022100 is an abundant number, since it is smaller than the sum of its proper divisors (62719494894636).

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

32213230022100 is a wasteful number, since it uses less digits than its factorization.

32213230022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662686 (or 6662679 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32213230022100 its reverse (122003231223), we get a palindrome (32335233253323).

The spelling of 32213230022100 in words is "thirty-two trillion, two hundred thirteen billion, two hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 227 284 300 355 426 454 681 710 852 908 1065 1135 1362 1420 1775 2130 2270 2724 3405 3550 4260 4540 5325 5675 6810 7100 10650 11350 13620 16117 17025 21300 22700 32234 34050 48351 64468 68100 80585 96702 161170 193404 241755 322340 402925 483510 805850 967020 1208775 1611700 2417550 4835100 6662371 13324742 19987113 26649484 33311855 39974226 66623710 79948452 99935565 133247420 166559275 199871130 333118550 399742260 473028341 499677825 666237100 946056682 999355650 1419085023 1512358217 1892113364 1998711300 2365141705 2838170046 3024716434 4537074651 4730283410 5676340092 6049432868 7095425115 7561791085 9074149302 9460566820 11825708525 14190850230 15123582170 18148298604 22685373255 23651417050 28381700460 30247164340 35477125575 37808955425 45370746510 47302834100 70954251150 75617910850 90741493020 107377433407 113426866275 141908502300 151235821700 214754866814 226853732550 322132300221 429509733628 453707465100 536887167035 644264600442 1073774334070 1288529200884 1610661501105 2147548668140 2684435835175 3221323002210 5368871670350 6442646004420 8053307505525 10737743340700 16106615011050 32213230022100