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30044012100 = 22352477130011
BaseRepresentation
bin11011111110110000…
…110011111001000100
32212112211002221121220
4123332300303321010
5443012231341400
621445123240340
72112342614004
oct337660637104
985484087556
1030044012100
1111818074a73
1259a58190b0
132aaa534b6b
141650224004
15bac91e7a0
hex6fec33e44

30044012100 has 144 divisors (see below), whose sum is σ = 90030237696. Its totient is φ = 7730576000.

The previous prime is 30044012083. The next prime is 30044012123. The reversal of 30044012100 is 121044003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30044012100.

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, 986095 + ... + 1016105.

It is an arithmetic number, because the mean of its divisors is an integer number (625209984).

Almost surely, 230044012100 is an apocalyptic number.

30044012100 is a gapful number since it is divisible by the number (30) 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 30044012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45015118848).

30044012100 is an abundant number, since it is smaller than the sum of its proper divisors (59986225596).

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

30044012100 is a wasteful number, since it uses less digits than its factorization.

30044012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30146 (or 30139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30044012100 its reverse (121044003), we get a palindrome (30165056103).

It can be divided in two parts, 3004 and 4012100, that added together give a palindrome (4015104).

The spelling of 30044012100 in words is "thirty billion, forty-four million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 71 75 94 100 141 142 150 188 213 235 282 284 300 355 426 470 564 705 710 852 940 1065 1175 1410 1420 1775 2130 2350 2820 3337 3525 3550 4260 4700 5325 6674 7050 7100 10011 10650 13348 14100 16685 20022 21300 30011 33370 40044 50055 60022 66740 83425 90033 100110 120044 150055 166850 180066 200220 250275 300110 333700 360132 450165 500550 600220 750275 900330 1001100 1410517 1500550 1800660 2130781 2250825 2821034 3001100 4231551 4261562 4501650 5642068 6392343 7052585 8463102 8523124 9003300 10653905 12784686 14105170 16926204 21157755 21307810 25569372 28210340 31961715 35262925 42315510 42615620 53269525 63923430 70525850 84631020 100146707 105788775 106539050 127846860 141051700 159808575 200293414 211577550 213078100 300440121 319617150 400586828 423155100 500733535 600880242 639234300 1001467070 1201760484 1502200605 2002934140 2503667675 3004401210 5007335350 6008802420 7511003025 10014670700 15022006050 30044012100