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30052125200 = 24521937106871
BaseRepresentation
bin11011111111001111…
…110000101000010000
32212120101101010201002
4123333033300220100
5443021321001300
621450013201132
72112501564236
oct337717605020
985511333632
1030052125200
1111821706509
1259a84901a8
132aac115906
141651336956
15bad4c35d5
hex6ff3f0a10

30052125200 has 120 divisors (see below), whose sum is σ = 78055033920. Its totient is φ = 11080281600.

The previous prime is 30052125157. The next prime is 30052125203. The reversal of 30052125200 is 252125003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30052125203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227765 + ... + 334635.

It is an arithmetic number, because the mean of its divisors is an integer number (650458616).

Almost surely, 230052125200 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 30052125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39027516960).

30052125200 is an abundant number, since it is smaller than the sum of its proper divisors (48002908720).

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

30052125200 is a wasteful number, since it uses less digits than its factorization.

30052125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106945 (or 106934 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 30052125200 in words is "thirty billion, fifty-two million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 37 38 40 50 74 76 80 95 100 148 152 185 190 200 296 304 370 380 400 475 592 703 740 760 925 950 1406 1480 1520 1850 1900 2812 2960 3515 3700 3800 5624 7030 7400 7600 11248 14060 14800 17575 28120 35150 56240 70300 106871 140600 213742 281200 427484 534355 854968 1068710 1709936 2030549 2137420 2671775 3954227 4061098 4274840 5343550 7908454 8122196 8549680 10152745 10687100 15816908 16244392 19771135 20305490 21374200 31633816 32488784 39542270 40610980 42748400 50763725 63267632 75130313 79084540 81221960 98855675 101527450 150260626 158169080 162443920 197711350 203054900 300521252 316338160 375651565 395422700 406109800 601042504 751303130 790845400 812219600 1202085008 1502606260 1581690800 1878257825 3005212520 3756515650 6010425040 7513031300 15026062600 30052125200