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661740631101 = 34112323145289
BaseRepresentation
bin10011010000100101101…
…00001011010000111101
32100021001211202002020000
421220102310023100331
541320221100143401
61223555514144513
765544356361654
oct11502264132075
92307054662200
10661740631101
11235708375560
12a82bb722139
134a52bbbbb14
1424057d9819b
15123302ed186
hex9a12d0b43d

661740631101 has 120 divisors (see below), whose sum is σ = 1163708071680. Its totient is φ = 371234793600.

The previous prime is 661740631049. The next prime is 661740631117. The reversal of 661740631101 is 101136047166.

661740631101 is a `hidden beast` number, since 6 + 6 + 1 + 7 + 4 + 0 + 631 + 10 + 1 = 666.

It is not a de Polignac number, because 661740631101 - 29 = 661740630589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661740631121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14588865 + ... + 14634153.

It is an arithmetic number, because the mean of its divisors is an integer number (9697567264).

Almost surely, 2661740631101 is an apocalyptic number.

It is an amenable number.

661740631101 is a deficient number, since it is larger than the sum of its proper divisors (501967440579).

661740631101 is a wasteful number, since it uses less digits than its factorization.

661740631101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45389 (or 45357 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 661740631101 its reverse (101136047166), we get a palindrome (762876678267).

The spelling of 661740631101 in words is "six hundred sixty-one billion, seven hundred forty million, six hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 11 23 27 31 33 69 81 93 99 207 253 279 297 341 529 621 713 759 837 891 1023 1587 1863 2139 2277 2511 3069 4761 5819 6417 6831 7843 9207 14283 16399 17457 19251 20493 23529 27621 42849 45289 49197 52371 57753 70587 135867 147591 157113 180389 211761 407601 442773 471339 498179 541167 635283 1041647 1222803 1328319 1403959 1494537 1623501 3124941 3668409 4211877 4483611 4870503 9374823 11458117 12635631 13450833 14611509 15443549 23957881 28124469 32291057 34374351 37906893 40352499 46330647 71873643 84373407 96873171 103123053 113720679 138991941 215620929 263536691 290619513 309369159 355201627 416975823 646862787 742694311 790610073 871858539 928107477 1065604881 1250927469 1940588361 2228082933 2371830219 2615575617 3196814643 6684248799 7115490657 8169637421 9590443929 20052746397 21346471971 24508912263 28771331787 60158239191 73526736789 220580210367 661740631101