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30521300436 = 2232112272631291
BaseRepresentation
bin11100011011001101…
…100001010111010100
32220210002012201010200
4130123031201113110
51000001423103221
622004333220500
72130226526124
oct343315412724
986702181120
1030521300436
1111a42529840
125ab9631730
132b553974b3
141697786c84
15bd979d426
hex71b3615d4

30521300436 has 144 divisors (see below), whose sum is σ = 84922725888. Its totient is φ = 9166017600.

The previous prime is 30521300417. The next prime is 30521300501. The reversal of 30521300436 is 63400312503.

It is a happy number.

30521300436 is a `hidden beast` number, since 305 + 21 + 300 + 4 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23640951 + ... + 23642241.

It is an arithmetic number, because the mean of its divisors is an integer number (589741152).

Almost surely, 230521300436 is an apocalyptic number.

30521300436 is a gapful number since it is divisible by the number (36) 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 30521300436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42461362944).

30521300436 is an abundant number, since it is smaller than the sum of its proper divisors (54401425452).

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

30521300436 is a wasteful number, since it uses less digits than its factorization.

30521300436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 30521300436 its reverse (63400312503), we get a palindrome (93921612939).

The spelling of 30521300436 in words is "thirty billion, five hundred twenty-one million, three hundred thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 227 263 396 454 526 681 789 908 1052 1291 1362 1578 2043 2367 2497 2582 2724 2893 3156 3873 4086 4734 4994 5164 5786 7491 7746 8172 8679 9468 9988 11572 11619 14201 14982 15492 17358 22473 23238 26037 28402 29964 34716 42603 44946 46476 52074 56804 59701 85206 89892 104148 119402 127809 170412 179103 238804 255618 293057 339533 358206 511236 537309 586114 656711 679066 716412 879171 1018599 1074618 1172228 1313422 1358132 1758342 1970133 2037198 2149236 2626844 2637513 3055797 3223627 3516684 3734863 3940266 4074396 5275026 5910399 6111594 6447254 7469726 7880532 9670881 10550052 11204589 11820798 12223188 12894508 14939452 19341762 22409178 23641596 29012643 33613767 38683524 44818356 58025286 67227534 77073991 116050572 134455068 154147982 231221973 308295964 462443946 693665919 847813901 924887892 1387331838 1695627802 2543441703 2774663676 3391255604 5086883406 7630325109 10173766812 15260650218 30521300436