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101993190 = 23513220117
BaseRepresentation
bin1100001010001…
…00101011100110
321002220210100120
412011010223212
5202102240230
614042022410
72345633145
oct605045346
9232823316
10101993190
1152632aa2
122a1a7a06
1318190b00
14d78d75c
158e4a310
hex6144ae6

101993190 has 48 divisors (see below), whose sum is σ = 265074768. Its totient is φ = 25104768.

The previous prime is 101993189. The next prime is 101993207. The reversal of 101993190 is 91399101.

101993190 = T4 + T5 + ... + T848.

It is a super-2 number, since 2×1019931902 = 20805221612752200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4989 + ... + 15128.

It is an arithmetic number, because the mean of its divisors is an integer number (5522391).

Almost surely, 2101993190 is an apocalyptic number.

101993190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101993190 is an abundant number, since it is smaller than the sum of its proper divisors (163081578).

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

101993190 is a wasteful number, since it uses less digits than its factorization.

101993190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20153 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 33.

The square root of 101993190 is about 10099.1677874962. The cubic root of 101993190 is about 467.2224743823. Note that the first 3 decimals are identical.

The spelling of 101993190 in words is "one hundred one million, nine hundred ninety-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 20117 40234 60351 100585 120702 201170 261521 301755 523042 603510 784563 1307605 1569126 2615210 3399773 3922815 6799546 7845630 10199319 16998865 20398638 33997730 50996595 101993190