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121661531640 = 233251130722609
BaseRepresentation
bin111000101001110010…
…1111010010111111000
3102122000210122011102100
41301103211322113320
53443130323003030
6131520204503400
711534612645655
oct1612345722770
9378023564370
10121661531640
1147661843470
121b6b424ab60
13b61b4b529c
145c61c96c2c
153270cab360
hex1c5397a5f8

121661531640 has 96 divisors (see below), whose sum is σ = 431345444400. Its totient is φ = 29493703680.

The previous prime is 121661531617. The next prime is 121661531659. The reversal of 121661531640 is 46135166121.

121661531640 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 6 + 1 + 5 + 3 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121661531595 and 121661531604.

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, 15357345 + ... + 15365264.

Almost surely, 2121661531640 is an apocalyptic number.

121661531640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121661531640 is an abundant number, since it is smaller than the sum of its proper divisors (309683912760).

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

121661531640 is a wasteful number, since it uses less digits than its factorization.

121661531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30722637 (or 30722630 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 121661531640 its reverse (46135166121), we get a palindrome (167796697761).

The spelling of 121661531640 in words is "one hundred twenty-one billion, six hundred sixty-one million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 30722609 61445218 92167827 122890436 153613045 184335654 245780872 276503481 307226090 337948699 368671308 460839135 553006962 614452180 675897398 737342616 921678270 1013846097 1106013924 1228904360 1351794796 1382517405 1689743495 1843356540 2027692194 2212027848 2703589592 2765034810 3041538291 3379486990 3686713080 4055384388 5069230485 5530069620 6083076582 6758973980 8110768776 10138460970 11060139240 12166153164 13517947960 15207691455 20276921940 24332306328 30415382910 40553843880 60830765820 121661531640