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193370388121 = 172258672
BaseRepresentation
bin1011010000010111000…
…1011111011010011001
3200111010022111111200201
42310011301133122121
511132010304404441
6224455542302201
716653620115331
oct2640561373231
9614108444621
10193370388121
117500a5a7719
1231587427961
131530898a401
14950581c0c1
15506b41ec31
hex2d05c5f699

193370388121 has 9 divisors (see below), whose sum is σ = 205422159999. Its totient is φ = 181988623584.

The previous prime is 193370388109. The next prime is 193370388139. The reversal of 193370388121 is 121883073391.

The square root of 193370388121 is 439739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 150547880025 + 42822508096 = 388005^2 + 206936^2 .

It is not a de Polignac number, because 193370388121 - 27 = 193370387993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193370388161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7462630 + ... + 7488496.

Almost surely, 2193370388121 is an apocalyptic number.

193370388121 is the 439739-th square number.

193370388121 is the 219870-th centered octagonal number.

It is an amenable number.

193370388121 is a deficient number, since it is larger than the sum of its proper divisors (12051771878).

193370388121 is an frugal number, since it uses more digits than its factorization.

193370388121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51768 (or 25884 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 193370388121 in words is "one hundred ninety-three billion, three hundred seventy million, three hundred eighty-eight thousand, one hundred twenty-one".

Divisors: 1 17 289 25867 439739 7475563 669101689 11374728713 193370388121