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30152514330 = 23351134312293
BaseRepresentation
bin11100000101001110…
…101101101100011010
32212211101021102201000
4130011032231230122
5443223020424310
621504001005430
72115131100021
oct340516555432
985741242630
1030152514330
1111873343334
125a16023876
132ac6b64573
1416607c98b8
15bb72034c0
hex7053adb1a

30152514330 has 128 divisors (see below), whose sum is σ = 81341936640. Its totient is φ = 7947555840.

The previous prime is 30152514307. The next prime is 30152514349. The reversal of 30152514330 is 3341525103.

30152514330 is a `hidden beast` number, since 30 + 152 + 51 + 433 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30152514294 and 30152514303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13148664 + ... + 13150956.

It is an arithmetic number, because the mean of its divisors is an integer number (635483880).

Almost surely, 230152514330 is an apocalyptic number.

30152514330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30152514330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40670968320).

30152514330 is an abundant number, since it is smaller than the sum of its proper divisors (51189422310).

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

30152514330 is a wasteful number, since it uses less digits than its factorization.

30152514330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 30152514330 in words is "thirty billion, one hundred fifty-two million, five hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 431 565 678 862 1017 1130 1293 1695 2034 2155 2293 2586 3051 3390 3879 4310 4586 5085 6102 6465 6879 7758 10170 11465 11637 12930 13758 15255 19395 20637 22930 23274 30510 34395 38790 41274 48703 58185 61911 68790 97406 103185 116370 123822 146109 206370 243515 259109 292218 309555 438327 487030 518218 619110 730545 777327 876654 988283 1295545 1314981 1461090 1554654 1976566 2191635 2331981 2591090 2629962 2964849 3886635 4383270 4663962 4941415 5929698 6574905 6995943 7773270 8894547 9882830 11659905 13149810 13991886 14824245 17789094 23319810 26683641 29648490 34979715 44472735 53367282 69959430 88945470 111675979 133418205 223351958 266836410 335027937 558379895 670055874 1005083811 1116759790 1675139685 2010167622 3015251433 3350279370 5025419055 6030502866 10050838110 15076257165 30152514330