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41148222100 = 22521940952951
BaseRepresentation
bin100110010100101000…
…000000101010010100
310221012200122021002221
4212110220000222110
51133232421101400
630523033112124
72654456055046
oct462450005224
9127180567087
1041148222100
11164a610a327
127b84558644
133b59c1831b
141dc4c9da96
15110c6e5c1a
hex994a00a94

41148222100 has 72 divisors (see below), whose sum is σ = 94222788800. Its totient is φ = 15554592000.

The previous prime is 41148222091. The next prime is 41148222121. The reversal of 41148222100 is 122284114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750625 + ... + 803575.

Almost surely, 241148222100 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 41148222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47111394400).

41148222100 is an abundant number, since it is smaller than the sum of its proper divisors (53074566700).

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

41148222100 is a wasteful number, since it uses less digits than its factorization.

41148222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53393 (or 53386 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 41148222100 in words is "forty-one billion, one hundred forty-eight million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 409 475 818 950 1636 1900 2045 4090 7771 8180 10225 15542 20450 31084 38855 40900 52951 77710 105902 155420 194275 211804 264755 388550 529510 777100 1006069 1059020 1323775 2012138 2647550 4024276 5030345 5295100 10060690 20121380 21656959 25151725 43313918 50303450 86627836 100606900 108284795 216569590 411482221 433139180 541423975 822964442 1082847950 1645928884 2057411105 2165695900 4114822210 8229644420 10287055525 20574111050 41148222100