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41412203020100 = 22521161617171431
BaseRepresentation
bin10010110101010000001111…
…01001100111111101000100
312102121222010122001110100202
421122220013221213331010
520411444142433120400
6224024300424030032
711502634665463613
oct1132500751477504
9172558118043322
1041412203020100
11122168a8a99a40
124789b67002318
131a15200409c93
14a3250b66d87a
154bc35e3514d5
hex25aa07a67f44

41412203020100 has 72 divisors (see below), whose sum is σ = 99641093353536. Its totient is φ = 14812114320000.

The previous prime is 41412203020091. The next prime is 41412203020121. The reversal of 41412203020100 is 102030221414.

41412203020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414122030201002 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308518616 + ... + 308652815.

Almost surely, 241412203020100 is an apocalyptic number.

It is an amenable number.

41412203020100 is an abundant number, since it is smaller than the sum of its proper divisors (58228890333436).

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

41412203020100 is a wasteful number, since it uses less digits than its factorization.

41412203020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617171517 (or 617171510 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41412203020100 its reverse (102030221414), we get a palindrome (41514233241514).

The spelling of 41412203020100 in words is "forty-one trillion, four hundred twelve billion, two hundred three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 33550 67100 617171431 1234342862 2468685724 3085857155 6171714310 6788885741 12343428620 13577771482 15429285775 27155542964 30858571550 33944428705 37647457291 61717143100 67888857410 75294914582 135777714820 150589829164 169722143525 188237286455 339444287050 376474572910 414122030201 678888574100 752949145820 828244060402 941186432275 1656488120804 1882372864550 2070610151005 3764745729100 4141220302010 8282440604020 10353050755025 20706101510050 41412203020100