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120002100102 = 233431272291777
BaseRepresentation
bin110111111000010101…
…1101011101110000110
3102110202011010022022000
41233300223223232012
53431231014200402
6131043405250130
711445523010103
oct1576053535606
9373664108260
10120002100102
1146990069a45
121b310563946
13b415771231
145b45731aaa
1531c526cc1c
hex1bf0aebb86

120002100102 has 128 divisors (see below), whose sum is σ = 276378009600. Its totient is φ = 38571821568.

The previous prime is 120002100061. The next prime is 120002100109. The reversal of 120002100102 is 201001200021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002100109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67529838 + ... + 67531614.

It is an arithmetic number, because the mean of its divisors is an integer number (2159203200).

Almost surely, 2120002100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138189004800).

120002100102 is an abundant number, since it is smaller than the sum of its proper divisors (156375909498).

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

120002100102 is a wasteful number, since it uses less digits than its factorization.

120002100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120002100102 its reverse (201001200021), we get a palindrome (321003300123).

The spelling of 120002100102 in words is "one hundred twenty billion, two million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 86 127 129 229 254 258 381 387 458 687 762 774 1143 1161 1374 1777 2061 2286 2322 3429 3554 4122 5331 5461 6183 6858 9847 10662 10922 12366 15993 16383 19694 29083 29541 31986 32766 47979 49149 58166 59082 76411 87249 88623 95958 98298 147447 152822 174498 177246 225679 229233 261747 265869 294894 406933 451358 458466 523494 531738 677037 687699 785241 813866 1220799 1250569 1354074 1375398 1570482 2031111 2063097 2441598 2501138 3662397 3751707 4062222 4126194 6093333 7324794 7503414 9704197 10987191 11255121 12186666 17498119 19408394 21974382 22510242 29112591 33765363 34996238 51680491 52494357 58225182 67530726 87337773 103360982 104988714 155041473 157483071 174675546 262013319 310082946 314966142 465124419 472449213 524026638 930248838 944898426 1395373257 2222261113 2790746514 4444522226 6666783339 13333566678 20000350017 40000700034 60001050051 120002100102