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30003211100032 = 272967338935597
BaseRepresentation
bin1101101001001101010101…
…01111010101111110000000
310221020021112100221112121221
412310212222233111332000
512413033034020200112
6143451141312124424
76214442353316662
oct664465257257600
9127207470845557
1030003211100032
119618321536035
1234469a6836714
1313983a1796241
1475a23da24532
153706bbb6ae07
hex1b49aabd5f80

30003211100032 has 128 divisors (see below), whose sum is σ = 62776289844000. Its totient is φ = 14263514259456.

The previous prime is 30003211100017. The next prime is 30003211100111. The reversal of 30003211100032 is 23000111230003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30003211099979 and 30003211100015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842840058 + ... + 842875654.

Almost surely, 230003211100032 is an apocalyptic number.

30003211100032 is a gapful number since it is divisible by the number (32) 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 30003211100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31388144922000).

30003211100032 is an abundant number, since it is smaller than the sum of its proper divisors (32773078743968).

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

30003211100032 is a wasteful number, since it uses less digits than its factorization.

30003211100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39096 (or 39084 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30003211100032 its reverse (23000111230003), we get a palindrome (53003322330035).

The spelling of 30003211100032 in words is "thirty trillion, three billion, two hundred eleven million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 232 268 464 536 928 1072 1856 1943 2144 3389 3712 3886 4288 6778 7772 8576 13556 15544 27112 31088 35597 54224 62176 71194 98281 108448 124352 142388 196562 216896 227063 248704 284776 393124 433792 454126 569552 786248 908252 1032313 1139104 1572496 1816504 2064626 2278208 2384999 3144992 3633008 4129252 4556416 4769998 6289984 6584827 7266016 8258504 9539996 12579968 13169654 14532032 16517008 19079992 26339308 29064064 33034016 38159984 52678616 66068032 69164971 76319968 105357232 120638233 132136064 138329942 152639936 210714464 241276466 276659884 305279872 421428928 482552932 553319768 842857856 965105864 1106639536 1930211728 2213279072 3498508757 3860423456 4426558144 6997017514 7720846912 8082761611 8853116288 13994035028 15441693824 16165523222 27988070056 32331046444 55976140112 64662092888 111952280224 129324185776 223904560448 234400086719 258648371552 447809120896 468800173438 517296743104 937600346876 1034593486208 1875200693752 3750401387504 7500802775008 15001605550016 30003211100032