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30213200011122 = 232191271072364871
BaseRepresentation
bin1101101111010100011110…
…00011011101111101110010
310221222100112212010111010100
412313222033003131331302
512430003113200323442
6144131430311213230
76235555155522522
oct667521703357562
9127870485114110
1030213200011122
119699389827a57
12347b62b677216
1313b21283bc49b
147664805bd682
15375dac00c84c
hex1b7a8f0ddf72

30213200011122 has 96 divisors (see below), whose sum is σ = 69457422827520. Its totient is φ = 9464855793120.

The previous prime is 30213200011091. The next prime is 30213200011139. The reversal of 30213200011122 is 22111000231203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30213200011095 and 30213200011104.

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, 465710347 + ... + 465775217.

It is an arithmetic number, because the mean of its divisors is an integer number (723514821120).

Almost surely, 230213200011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30213200011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34728711413760).

30213200011122 is an abundant number, since it is smaller than the sum of its proper divisors (39244222816398).

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

30213200011122 is a wasteful number, since it uses less digits than its factorization.

30213200011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75748 (or 75745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30213200011122 its reverse (22111000231203), we get a palindrome (52324200242325).

The spelling of 30213200011122 in words is "thirty trillion, two hundred thirteen billion, two hundred million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 1143 2286 2413 4826 7239 10723 14478 21446 21717 32169 43434 64338 64871 96507 129742 193014 194613 203737 389226 407474 583839 611211 1167678 1222422 1232549 1361821 1833633 2465098 2723642 3667266 3697647 4085463 7395294 8170926 8238617 11092941 12256389 16477234 22185882 24512778 24715851 25874599 49431702 51749198 74147553 77623797 148295106 155247594 156533723 232871391 313067446 465742782 469601169 695611733 939202338 1391223466 1408803507 2086835199 2817607014 4173670398 6260505597 12521011194 13216622927 26433245854 39649868781 79299737562 88342690091 118949606343 176685380182 237899212686 265028070273 530056140546 795084210819 1590168421638 1678511111729 3357022223458 5035533335187 10071066670374 15106600005561 30213200011122