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10200134332212 = 223113737322212521
BaseRepresentation
bin1001010001101110011101…
…1000100010111100110100
31100010010022220021201110220
42110123213120202330310
52314104333342112322
633405513234214340
72101635560164356
oct224334730427464
940103286251426
1010200134332212
113282941a05a80
121188a304243b0
1358cb3a24bcc6
14273990dbb0d6
1512a4e009e55c
hex946e7622f34

10200134332212 has 192 divisors, whose sum is σ = 26759846201088. Its totient is φ = 2996808192000.

The previous prime is 10200134332183. The next prime is 10200134332247. The reversal of 10200134332212 is 21223343100201.

10200134332212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4046065512 + ... + 4046068032.

It is an arithmetic number, because the mean of its divisors is an integer number (139374198964).

Almost surely, 210200134332212 is an apocalyptic number.

10200134332212 is a gapful number since it is divisible by the number (12) 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 10200134332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379923100544).

10200134332212 is an abundant number, since it is smaller than the sum of its proper divisors (16559711868876).

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

10200134332212 is a wasteful number, since it uses less digits than its factorization.

10200134332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10200134332212 its reverse (21223343100201), we get a palindrome (31423477432413).

The spelling of 10200134332212 in words is "ten trillion, two hundred billion, one hundred thirty-four million, three hundred thirty-two thousand, two hundred twelve".