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30213331132220 = 2254149997775577
BaseRepresentation
bin1101101111010100101101…
…10111101001111100111100
310221222100212222212010110022
412313222112313221330330
512430003400232212340
6144131451313431312
76235561340163005
oct667522667517474
9127870788763408
1030213331132220
1196994468451a5
12347b66756b538
1313b214960b332
14766493b921ac
15375db87ad3b5
hex1b7a96de9f3c

30213331132220 has 96 divisors (see below), whose sum is σ = 65193280488000. Its totient is φ = 11754740367360.

The previous prime is 30213331132213. The next prime is 30213331132223. The reversal of 30213331132220 is 2223113331203.

It is a self number, because there is not a number n which added to its sum of digits gives 30213331132220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30213331132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399731072 + ... + 399806648.

It is an arithmetic number, because the mean of its divisors is an integer number (679096671750).

Almost surely, 230213331132220 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 30213331132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32596640244000).

30213331132220 is an abundant number, since it is smaller than the sum of its proper divisors (34979949355780).

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

30213331132220 is a wasteful number, since it uses less digits than its factorization.

30213331132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77103 (or 77101 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 30213331132220 its reverse (2223113331203), we get a palindrome (32436444463423).

The spelling of 30213331132220 in words is "thirty trillion, two hundred thirteen billion, three hundred thirty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 499 820 977 998 1954 1996 2495 3908 4885 4990 9770 9980 19540 20459 40057 40918 75577 80114 81836 102295 151154 160228 200285 204590 302308 377885 400570 409180 487523 755770 801140 975046 1511540 1950092 2437615 3098657 4875230 6197314 9750460 12394628 15493285 19988443 30986570 37712923 39976886 61973140 73838729 75425846 79953772 99942215 147677458 150851692 188564615 199884430 295354916 369193645 377129230 399768860 738387290 754258460 1476774580 1546229843 3027387889 3092459686 6054775778 6184919372 7731149215 12109551556 15136939445 15462298430 30273878890 30924596860 36845525771 60547757780 73691051542 147382103084 184227628855 368455257710 736910515420 1510666556611 3021333113222 6042666226444 7553332783055 15106665566110 30213331132220