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3001020201003 = 3112172916769317
BaseRepresentation
bin101011101010111010101…
…111100011100000101011
3101121220011020221212010110
4223222322233203200223
5343132042132413003
610214352153545403
7426550035552036
oct53527257434053
911556136855113
103001020201003
11a577a8737900
1240574b715263
13189cc1cc0b36
14a53705c201d
15530e40b5a03
hex2bababe382b

3001020201003 has 48 divisors (see below), whose sum is σ = 4817489675040. Its totient is φ = 1652783784960.

The previous prime is 3001020200993. The next prime is 3001020201041.

It is a happy number.

3001020201003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3001020201003 - 24 = 3001020200987 is a prime.

It is a super-2 number, since 2×30010202010032 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3001020201003.

It is not an unprimeable number, because it can be changed into a prime (3001020208003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8205700 + ... + 8563617.

It is an arithmetic number, because the mean of its divisors is an integer number (100364368230).

Almost surely, 23001020201003 is an apocalyptic number.

3001020201003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3001020201003 is a deficient number, since it is larger than the sum of its proper divisors (1816469474037).

3001020201003 is a wasteful number, since it uses less digits than its factorization.

3001020201003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16769388 (or 16769377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 3001020 and 201003, that added together give a palindrome (3202023).

The spelling of 3001020201003 in words is "three trillion, one billion, twenty million, two hundred one thousand, three".

Divisors: 1 3 11 17 29 33 51 87 121 187 319 363 493 561 957 1479 2057 3509 5423 6171 10527 16269 59653 178959 16769317 50307951 184462487 285078389 486310193 553387461 855235167 1458930579 2029087357 3135862279 5349412123 6087262071 8267273281 9407586837 16048236369 24801819843 34494485069 58843533353 90940006091 103483455207 176530600059 272820018273 1000340067001 3001020201003