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10100211420 = 22351341315829
BaseRepresentation
bin10010110100000010…
…01111111011011100
3222001220022220100110
421122001033323130
5131141123231140
64350122330020
7505202244345
oct113201177334
928056286313
1010100211420
114313340372
121b5a659910
13c4c6a6280
146bb5ab0cc
153e1aa5380
hex25a04fedc

10100211420 has 96 divisors (see below), whose sum is σ = 31198950720. Its totient is φ = 2425559040.

The previous prime is 10100211403. The next prime is 10100211491. The reversal of 10100211420 is 2411200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100211396 and 10100211405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125935 + ... + 189894.

It is an arithmetic number, because the mean of its divisors is an integer number (324989070).

Almost surely, 210100211420 is an apocalyptic number.

10100211420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100211420 is an abundant number, since it is smaller than the sum of its proper divisors (21098739300).

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

10100211420 is a wasteful number, since it uses less digits than its factorization.

10100211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315895 (or 315893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100211420 its reverse (2411200101), we get a palindrome (12511411521).

The spelling of 10100211420 in words is "ten billion, one hundred million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 15990 31980 315829 631658 947487 1263316 1579145 1894974 3158290 3789948 4105777 4737435 6316580 8211554 9474870 12317331 12948989 16423108 18949740 20528885 24634662 25897978 38846967 41057770 49269324 51795956 61586655 64744945 77693934 82115540 123173310 129489890 155387868 168336857 194234835 246346620 258979780 336673714 388469670 505010571 673347428 776939340 841684285 1010021142 1683368570 2020042284 2525052855 3366737140 5050105710 10100211420