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30211413000 = 2335343234197
BaseRepresentation
bin11100001000101111…
…011001010000001000
32212222111002210111020
4130020233121100020
5443333110204000
621513503232440
72116444526166
oct341057312010
985874083436
1030211413000
11118a361181a
125a318a8720
132b06117152
14166855c236
15bbc489ba0
hex708bd9408

30211413000 has 128 divisors (see below), whose sum is σ = 96452104320. Its totient is φ = 7868985600.

The previous prime is 30211412993. The next prime is 30211413007. The reversal of 30211413000 is 31411203.

It is an interprime number because it is at equal distance from previous prime (30211412993) and next prime (30211413007).

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

It is not an unprimeable number, because it can be changed into a prime (30211413007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11902 + ... + 246098.

It is an arithmetic number, because the mean of its divisors is an integer number (753532065).

Almost surely, 230211413000 is an apocalyptic number.

30211413000 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 30211413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48226052160).

30211413000 is an abundant number, since it is smaller than the sum of its proper divisors (66240691320).

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

30211413000 is a wasteful number, since it uses less digits than its factorization.

30211413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234264 (or 234250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30211413000 its reverse (31411203), we get a palindrome (30242824203).

It can be divided in two parts, 30211 and 413000, that added together give a triangular number (443211 = T941).

The spelling of 30211413000 in words is "thirty billion, two hundred eleven million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 129000 234197 468394 702591 936788 1170985 1405182 1873576 2341970 2810364 3512955 4683940 5620728 5854925 7025910 9367880 10070471 11709850 14051820 17564775 20140942 23419700 28103640 29274625 30211413 35129550 40281884 46839400 50352355 58549250 60422826 70259100 80563768 87823875 100704710 117098500 120845652 140518200 151057065 175647750 201409420 234197000 241691304 251761775 302114130 351295500 402818840 503523550 604228260 702591000 755285325 1007047100 1208456520 1258808875 1510570650 2014094200 2517617750 3021141300 3776426625 5035235500 6042282600 7552853250 10070471000 15105706500 30211413000