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100221001111120 = 24521133601176699
BaseRepresentation
bin10110110010011010000101…
…001010111001011001010000
3111010212000220212220012022111
4112302122011022321121100
5101114010102241023440
6553052520423315104
730052504556452411
oct2662320512713120
9433760825805274
10100221001111120
1129a2a540409a5a
12b2a76025aba94
1343bca52378896
141aa6a18135808
15b8bea18104ea
hex5b26852b9650

100221001111120 has 80 divisors (see below), whose sum is σ = 234126451108800. Its totient is φ = 39896994816000.

The previous prime is 100221001111117. The next prime is 100221001111157. The reversal of 100221001111120 is 21111100122001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 100221001111120.

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, 567096531 + ... + 567273229.

It is an arithmetic number, because the mean of its divisors is an integer number (2926580638860).

Almost surely, 2100221001111120 is an apocalyptic number.

100221001111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221001111120 is an abundant number, since it is smaller than the sum of its proper divisors (133905449997680).

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

100221001111120 is a wasteful number, since it uses less digits than its factorization.

100221001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210524 (or 210518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100221001111120 its reverse (21111100122001), we get a palindrome (121332101233121).

The spelling of 100221001111120 in words is "one hundred trillion, two hundred twenty-one billion, one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 211 422 844 1055 1688 2110 3376 4220 8440 16880 33601 67202 134404 168005 176699 268808 336010 353398 537616 672020 706796 883495 1344040 1413592 1766990 2688080 2827184 3533980 7067960 7089811 14135920 14179622 28359244 35449055 37283489 56718488 70898110 74566978 113436976 141796220 149133956 186417445 283592440 298267912 372834890 567184880 596535824 745669780 1491339560 2982679120 5937263099 11874526198 23749052396 29686315495 47498104792 59372630990 94996209584 118745261980 237490523960 474981047920 1252762513889 2505525027778 5011050055556 6263812569445 10022100111112 12527625138890 20044200222224 25055250277780 50110500555560 100221001111120