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2102602062012 = 2231783701317707
BaseRepresentation
bin11110100110001100110…
…110010101100010111100
321110000011221201122020220
4132212030312111202330
5233422112111441022
64245531055141340
7304623303433134
oct36461466254274
97400157648226
102102602062012
1174078805a661
1229b5b9214850
1312337518947a
1473aa332bac4
1539a608a385c
hex1e98cd958bc

2102602062012 has 96 divisors (see below), whose sum is σ = 5258296818432. Its totient is φ = 651562669056.

The previous prime is 2102602061993. The next prime is 2102602062031.

It is a happy number.

2102602062012 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2102602061993) and next prime (2102602062031).

It is a super-2 number, since 2×21026020620122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 118735263 + ... + 118752969.

It is an arithmetic number, because the mean of its divisors is an integer number (54773925192).

Almost surely, 22102602062012 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 2102602062012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629148409216).

2102602062012 is an abundant number, since it is smaller than the sum of its proper divisors (3155694756420).

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

2102602062012 is a wasteful number, since it uses less digits than its factorization.

2102602062012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24827 (or 24825 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 2102602062012 in words is "two trillion, one hundred two billion, six hundred two million, sixty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2822 4233 5644 7013 8466 14026 16932 17707 21039 28052 35414 42078 53121 70828 84156 106242 119221 212484 238442 301019 357663 476884 582079 602038 715326 903057 1164158 1204076 1430652 1469681 1746237 1806114 2328316 2939362 3492474 3612228 4409043 5878724 6984948 8818086 9895343 17636172 19790686 24984577 29686029 39581372 49969154 59372058 74953731 99938308 118744116 124179191 149907462 248358382 299814924 372537573 496716764 745075146 1490150292 2111046247 4222092494 6333138741 8444184988 10306872853 12666277482 20613745706 25332554964 30920618559 41227491412 61841237118 123682474236 175216838501 350433677002 525650515503 700867354004 1051301031006 2102602062012