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61302040120 = 23517437092957
BaseRepresentation
bin111001000101111000…
…101110011000111000
312212020020121022000101
4321011320232120320
52001021310240440
644054535245144
74300056513016
oct710570563070
9185206538011
1061302040120
1123aa8449082
12ba69b197b4
135a1c42a929
142d777858b6
1518dbbe769a
hexe45e2e638

61302040120 has 128 divisors (see below), whose sum is σ = 149700830400. Its totient is φ = 22502301696.

The previous prime is 61302040091. The next prime is 61302040133. The reversal of 61302040120 is 2104020316.

61302040120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×613020401202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20729682 + ... + 20732638.

Almost surely, 261302040120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61302040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850415200).

61302040120 is an abundant number, since it is smaller than the sum of its proper divisors (88398790280).

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

61302040120 is a wasteful number, since it uses less digits than its factorization.

61302040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 61302040120 its reverse (2104020316), we get a palindrome (63406060436).

The spelling of 61302040120 in words is "sixty-one billion, three hundred two million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 709 731 860 1418 1462 1720 2836 2924 2957 3545 3655 5672 5848 5914 7090 7310 11828 12053 14180 14620 14785 23656 24106 28360 29240 29570 30487 48212 50269 59140 60265 60974 96424 100538 118280 120530 121948 127151 152435 201076 241060 243896 251345 254302 304870 402152 482120 502690 508604 518279 609740 635755 1005380 1017208 1036558 1219480 1271510 2010760 2073116 2096513 2161567 2543020 2591395 4146232 4193026 4323134 5086040 5182790 8386052 8646268 10365580 10482565 10807835 16772104 17292536 20731160 20965130 21615670 35640721 41930260 43231340 71281442 83860520 86462680 90150059 142562884 178203605 180300118 285125768 356407210 360600236 450750295 712814420 721200472 901500590 1425628840 1532551003 1803001180 3065102006 3606002360 6130204012 7662755015 12260408024 15325510030 30651020060 61302040120