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2111020002 = 2337132691597
BaseRepresentation
bin111110111010011…
…1001101111100010
312110010020221001000
41331310321233202
513310410120002
6545250252430
7103212242160
oct17564715742
95403227030
102111020002
11993685633
124aab87116
13278478a80
14160518230
15c54e261c
hex7dd39be2

2111020002 has 128 divisors (see below), whose sum is σ = 5798822400. Its totient is φ = 554335488.

The previous prime is 2111020001. The next prime is 2111020003. The reversal of 2111020002 is 2000201112.

It is an interprime number because it is at equal distance from previous prime (2111020001) and next prime (2111020003).

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

It is not an unprimeable number, because it can be changed into a prime (2111020001) 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, 1321068 + ... + 1322664.

It is an arithmetic number, because the mean of its divisors is an integer number (45303300).

Almost surely, 22111020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899411200).

2111020002 is an abundant number, since it is smaller than the sum of its proper divisors (3687802398).

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

2111020002 is a wasteful number, since it uses less digits than its factorization.

2111020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

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

The square root of 2111020002 is about 45945.8377004925. The cubic root of 2111020002 is about 1282.8152557645.

Adding to 2111020002 its reverse (2000201112), we get a palindrome (4111221114).

The spelling of 2111020002 in words is "two billion, one hundred eleven million, twenty thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 269 273 351 378 538 546 702 807 819 1597 1614 1638 1883 2421 2457 3194 3497 3766 4791 4842 4914 5649 6994 7263 9582 10491 11179 11298 14373 14526 16947 20761 20982 22358 24479 28746 31473 33537 33894 41522 43119 48958 50841 62283 62946 67074 73437 86238 94419 100611 101682 124566 145327 146874 186849 188838 201222 220311 290654 301833 373698 429593 435981 440622 560547 603666 660933 859186 871962 1121094 1288779 1307943 1321866 2577558 2615886 3007151 3866337 3923829 5584709 6014302 7732674 7847658 9021453 11169418 11599011 16754127 18042906 23198022 27064359 33508254 39092963 50262381 54128718 78185926 81193077 100524762 117278889 150787143 162386154 234557778 301574286 351836667 703673334 1055510001 2111020002