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2002013104 = 2471323191313
BaseRepresentation
bin111011101010100…
…0100101110110000
312011112010210200111
41313111010232300
513100003404404
6530354031104
7100416554620
oct16725045660
95145123614
102002013104
119380a2093
1247a578494
1325ba00750
1414dc60880
15bab5e104
hex77544bb0

2002013104 has 160 divisors (see below), whose sum is σ = 5023678464. Its totient is φ = 751196160.

The previous prime is 2002013099. The next prime is 2002013113. The reversal of 2002013104 is 4013102002.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 6396052 + ... + 6396364.

Almost surely, 22002013104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511839232).

2002013104 is an abundant number, since it is smaller than the sum of its proper divisors (3021665360).

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

2002013104 is a wasteful number, since it uses less digits than its factorization.

2002013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2002013104 is about 44743.8610761298. The cubic root of 2002013104 is about 1260.3436334933.

Adding to 2002013104 its reverse (4013102002), we get a palindrome (6015115106).

It can be divided in two parts, 20020 and 13104, that added together give a square (33124 = 1822).

The spelling of 2002013104 in words is "two billion, two million, thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 191 208 299 313 322 364 368 382 598 626 644 728 764 1196 1252 1288 1337 1456 1528 2093 2191 2392 2483 2504 2576 2674 3056 4069 4186 4382 4393 4784 4966 5008 5348 7199 8138 8372 8764 8786 9932 10696 14398 16276 16744 17381 17528 17572 19864 21392 28483 28796 30751 32552 33488 34762 35056 35144 39728 50393 56966 57109 57592 59783 61502 65104 69524 70288 93587 100786 113932 114218 115184 119566 123004 139048 187174 201572 227864 228436 239132 246008 278096 374348 399763 403144 418481 455728 456872 478264 492016 655109 748696 777179 799526 806288 836962 913744 956528 1310218 1375009 1497392 1554358 1599052 1673924 2620436 2750018 3108716 3198104 3347848 5240872 5440253 5500036 6217432 6396208 6695696 9625063 10481744 10880506 11000072 12434864 17875117 19250126 21761012 22000144 35750234 38500252 43522024 71500468 77000504 87044048 125125819 143000936 154001008 250251638 286001872 500503276 1001006552 2002013104