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133642772130 = 23572327669311
BaseRepresentation
bin111110001110110111…
…0101101111010100010
3110202221210110020120010
41330131232231322202
54142200022202010
6141221124225350
712440535551160
oct1743556557242
9422853406503
10133642772130
115174a95180a
1221a9883b256
13c7aa7ac1ba
14667b1d0230
153722a73620
hex1f1dbadea2

133642772130 has 64 divisors (see below), whose sum is σ = 382500569088. Its totient is φ = 29218791360.

The previous prime is 133642772017. The next prime is 133642772141. The reversal of 133642772130 is 31277246331.

It is a super-2 number, since 2×1336427721302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13829826 + ... + 13839485.

It is an arithmetic number, because the mean of its divisors is an integer number (5976571392).

Almost surely, 2133642772130 is an apocalyptic number.

133642772130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133642772130 is an abundant number, since it is smaller than the sum of its proper divisors (248857796958).

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

133642772130 is a wasteful number, since it uses less digits than its factorization.

133642772130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27669351.

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 133642772130 in words is "one hundred thirty-three billion, six hundred forty-two million, seven hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 27669311 55338622 83007933 138346555 166015866 193685177 276693110 387370354 415039665 581055531 636394153 830079330 968425885 1162111062 1272788306 1909182459 1936851770 2905277655 3181970765 3818364918 4454759071 5810555310 6363941530 8909518142 9545912295 13364277213 19091824590 22273795355 26728554426 44547590710 66821386065 133642772130