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221210100342 = 232711631252937
BaseRepresentation
bin1100111000000100100…
…1100100001001110110
3210010222111211102100100
43032001021210021312
512111014241202332
6245342244054530
721660535554150
oct3160111441166
9703874742310
10221210100342
11858a6375550
1236a56994446
1317b246166ca
14a9c6da5ad0
155b4a57367c
hex3381264276

221210100342 has 96 divisors (see below), whose sum is σ = 598503919104. Its totient is φ = 57365884800.

The previous prime is 221210100323. The next prime is 221210100389. The reversal of 221210100342 is 243001012122.

It is a happy number.

221210100342 is a `hidden beast` number, since 2 + 212 + 10 + 100 + 342 = 666.

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

It is a congruent number.

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, 748098 + ... + 1001034.

It is an arithmetic number, because the mean of its divisors is an integer number (6234415824).

Almost surely, 2221210100342 is an apocalyptic number.

221210100342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210100342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299251959552).

221210100342 is an abundant number, since it is smaller than the sum of its proper divisors (377293818762).

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

221210100342 is a wasteful number, since it uses less digits than its factorization.

221210100342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253594 (or 253591 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221210100342 its reverse (243001012122), we get a palindrome (464211112464).

The spelling of 221210100342 in words is "two hundred twenty-one billion, two hundred ten million, one hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 631 693 1262 1386 1893 3786 4417 5679 6941 8834 11358 13251 13882 20823 26502 39753 41646 48587 62469 79506 97174 124938 145761 252937 291522 437283 505874 758811 874566 1517622 1770559 2276433 2782307 3541118 4552866 5311677 5564614 8346921 10623354 15935031 16693842 19476149 25040763 31870062 38952298 50081526 58428447 116856894 159603247 175285341 319206494 350570682 478809741 957619482 1117222729 1436429223 1755635717 2234445458 2872858446 3351668187 3511271434 5266907151 6703336374 10055004561 10533814302 12289450019 15800721453 20110009122 24578900038 31601442906 36868350057 73736700114 110605050171 221210100342