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30134143100 = 22523741271733
BaseRepresentation
bin11100000100001000…
…101000100001111100
32212210002201002010002
4130010020220201330
5443203320034400
621502103133432
72114515663415
oct340410504174
985702632102
1030134143100
1111863a357a6
125a0ba44278
132ac3101609
14165c1a680c
15bb57c4ed5
hex70422887c

30134143100 has 144 divisors (see below), whose sum is σ = 69144491136. Its totient is φ = 11384064000.

The previous prime is 30134143087. The next prime is 30134143103. The reversal of 30134143100 is 134143103.

It is a super-2 number, since 2×301341431002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30134143103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41110334 + ... + 41111066.

Almost surely, 230134143100 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 30134143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34572245568).

30134143100 is an abundant number, since it is smaller than the sum of its proper divisors (39010348036).

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

30134143100 is a wasteful number, since it uses less digits than its factorization.

30134143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 30134143100 its reverse (134143103), we get a palindrome (30268286203).

The spelling of 30134143100 in words is "thirty billion, one hundred thirty-four million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 205 271 370 410 542 733 740 820 925 1025 1084 1355 1466 1517 1850 2050 2710 2932 3034 3665 3700 4100 5420 6068 6775 7330 7585 10027 11111 13550 14660 15170 18325 20054 22222 27100 27121 30053 30340 36650 37925 40108 44444 50135 54242 55555 60106 73300 75850 100270 108484 111110 120212 135605 150265 151700 198643 200540 222220 250675 271210 277775 300530 397286 411107 501350 542420 555550 601060 678025 751325 794572 822214 993215 1002700 1111100 1111961 1356050 1502650 1644428 1986430 2055535 2223922 2712100 3005300 3972860 4111070 4447844 4966075 5559805 7349791 8144363 8222140 9932150 10277675 11119610 14699582 16288726 19864300 20555350 22239220 27799025 29399164 32577452 36748955 40721815 41110700 55598050 73497910 81443630 111196100 146995820 162887260 183744775 203609075 301341431 367489550 407218150 602682862 734979100 814436300 1205365724 1506707155 3013414310 6026828620 7533535775 15067071550 30134143100