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130693620600 = 233252523138829
BaseRepresentation
bin111100110110111110…
…0100110001101111000
3110111100021002211012200
41321231330212031320
54120130031324400
6140012333510200
712304465305564
oct1715574461570
9414307084180
10130693620600
11504771615a4
12213b5042360
13c42a7bc31a
14647b6626a4
1535edbc5b00
hex1e6df26378

130693620600 has 144 divisors (see below), whose sum is σ = 439755131400. Its totient is φ = 34784743680.

The previous prime is 130693620581. The next prime is 130693620619. The reversal of 130693620600 is 6026396031.

130693620600 is a `hidden beast` number, since 13 + 0 + 6 + 9 + 36 + 2 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (130693620581) and next prime (130693620619).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 871986 + ... + 1010814.

Almost surely, 2130693620600 is an apocalyptic number.

130693620600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130693620600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219877565700).

130693620600 is an abundant number, since it is smaller than the sum of its proper divisors (309061510800).

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

130693620600 is a wasteful number, since it uses less digits than its factorization.

130693620600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139374 (or 139362 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 130693620600 in words is "one hundred thirty billion, six hundred ninety-three million, six hundred twenty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 523 600 900 1046 1569 1800 2092 2615 3138 4184 4707 5230 6276 7845 9414 10460 12552 13075 15690 18828 20920 23535 26150 31380 37656 39225 47070 52300 62760 78450 94140 104600 117675 138829 156900 188280 235350 277658 313800 416487 470700 555316 694145 832974 941400 1110632 1249461 1388290 1665948 2082435 2498922 2776580 3331896 3470725 4164870 4997844 5553160 6247305 6941450 8329740 9995688 10412175 12494610 13882900 16659480 20824350 24989220 27765800 31236525 41648700 49978440 62473050 72607567 83297400 124946100 145215134 217822701 249892200 290430268 363037835 435645402 580860536 653468103 726075670 871290804 1089113505 1306936206 1452151340 1742581608 1815189175 2178227010 2613872412 2904302680 3267340515 3630378350 4356454020 5227744824 5445567525 6534681030 7260756700 8712908040 10891135050 13069362060 14521513400 16336702575 21782270100 26138724120 32673405150 43564540200 65346810300 130693620600