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101022220201100 = 225211828711082223
BaseRepresentation
bin10110111110000100010001…
…100011001010110010001100
3111020200122000012222010100212
4112332010101203022302030
5101220122001332413400
6554504544533141552
730164420535401552
oct2676042143126214
9436618005863325
10101022220201100
112a209312729030
12b3b694918a8b8
13444a47ba71873
141ad3704359bd2
15ba2c46b5e335
hex5be1118cac8c

101022220201100 has 72 divisors (see below), whose sum is σ = 239176026421248. Its totient is φ = 36730916596800.

The previous prime is 101022220201099. The next prime is 101022220201157. The reversal of 101022220201100 is 1102022220101.

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, 3574589 + ... + 14656811.

Almost surely, 2101022220201100 is an apocalyptic number.

101022220201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022220201100 is an abundant number, since it is smaller than the sum of its proper divisors (138153806220148).

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

101022220201100 is a wasteful number, since it uses less digits than its factorization.

101022220201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090535 (or 11090528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022220201100 its reverse (1102022220101), we get a palindrome (102124242421201).

The spelling of 101022220201100 in words is "one hundred one trillion, twenty-two billion, two hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 8287 16574 33148 41435 82870 91157 165740 182314 207175 364628 414350 455785 828700 911570 1823140 2278925 4557850 9115700 11082223 22164446 44328892 55411115 110822230 121904453 221644460 243808906 277055575 487617812 554111150 609522265 1108222300 1219044530 2438089060 3047611325 6095222650 12190445300 91838382001 183676764002 367353528004 459191910005 918383820010 1010222202011 1836767640020 2020444404022 2295959550025 4040888808044 4591919100050 5051111010055 9183838200100 10102222020110 20204444040220 25255555050275 50511110100550 101022220201100