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2101220088 = 2331113160757
BaseRepresentation
bin111110100111110…
…0001001011111000
312102102211001002020
41331033201023320
513300403020323
6544300234440
7103033035042
oct17517411370
95372731066
102101220088
119890a1830
124a783ba20
132764272c6
1415d0c6a92
15c4708ae3
hex7d3e12f8

2101220088 has 64 divisors (see below), whose sum is σ = 5774440320. Its totient is φ = 631862400.

The previous prime is 2101220087. The next prime is 2101220167. The reversal of 2101220088 is 8800221012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101220081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4206 + ... + 64962.

It is an arithmetic number, because the mean of its divisors is an integer number (90225630).

Almost surely, 22101220088 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 2101220088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887220160).

2101220088 is an abundant number, since it is smaller than the sum of its proper divisors (3673220232).

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

2101220088 is a wasteful number, since it uses less digits than its factorization.

2101220088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60908 (or 60904 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2101220088 is about 45839.0672679975. The cubic root of 2101220088 is about 1280.8271200326.

The spelling of 2101220088 in words is "two billion, one hundred one million, two hundred twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 8646 11528 17292 34584 60757 121514 182271 243028 364542 486056 668327 729084 1336654 1458168 2004981 2673308 4009962 5346616 7959167 8019924 15918334 16039848 23877501 31836668 47755002 63673336 87550837 95510004 175101674 191020008 262652511 350203348 525305022 700406696 1050610044 2101220088