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2110000104 = 2337831453
BaseRepresentation
bin111110111000100…
…0000101111101000
312110001100010000000
41331301000233220
513310130000404
6545212343000
7103200463542
oct17561005750
95401303000
102110000104
11993049343
124aa774a60
132781ac794
14160330692
15c5390339
hex7dc40be8

2110000104 has 128 divisors (see below), whose sum is σ = 6009091200. Its totient is φ = 694381248.

The previous prime is 2110000049. The next prime is 2110000117. The reversal of 2110000104 is 4010000112.

It is a happy number.

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

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, 1451442 + ... + 1452894.

It is an arithmetic number, because the mean of its divisors is an integer number (46946025).

Almost surely, 22110000104 is an apocalyptic number.

2110000104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004545600).

2110000104 is an abundant number, since it is smaller than the sum of its proper divisors (3899091096).

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

2110000104 is an equidigital number, since it uses as much as digits as its factorization.

2110000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1541 counting only the distinct ones).

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

The square root of 2110000104 is about 45934.7374434643. The cubic root of 2110000104 is about 1282.6086334573.

Adding to 2110000104 its reverse (4010000112), we get a palindrome (6120000216).

The spelling of 2110000104 in words is "two billion, one hundred ten million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 648 664 729 747 972 996 1453 1458 1494 1944 1992 2187 2241 2906 2916 2988 4359 4374 4482 5812 5832 5976 6723 8718 8748 8964 11624 13077 13446 17436 17496 17928 20169 26154 26892 34872 39231 40338 52308 53784 60507 78462 80676 104616 117693 120599 121014 156924 161352 181521 235386 241198 242028 313848 353079 361797 363042 470772 482396 484056 706158 723594 726084 941544 964792 1059237 1085391 1412316 1447188 1452168 2118474 2170782 2824632 2894376 3177711 3256173 4236948 4341564 6355422 6512346 8473896 8683128 9768519 12710844 13024692 19537038 25421688 26049384 29305557 39074076 58611114 78148152 87916671 117222228 175833342 234444456 263750013 351666684 527500026 703333368 1055000052 2110000104