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2102155264 = 21111217499
BaseRepresentation
bin111110101001100…
…0101100000000000
312102111120112220101
41331103011200000
513301122432024
6544332252144
7103044011356
oct17523054000
95374515811
102102155264
11989680400
124a8011054
13276693b71
1415d28b7d6
15c4840c44
hex7d4c5800

2102155264 has 144 divisors (see below), whose sum is σ = 4901715000. Its totient is φ = 897515520.

The previous prime is 2102155261. The next prime is 2102155267. The reversal of 2102155264 is 4625512012.

2102155264 = T272 + T273 + ... + T2328.

It is an interprime number because it is at equal distance from previous prime (2102155261) and next prime (2102155267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102155261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4212487 + ... + 4212985.

Almost surely, 22102155264 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 2102155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450857500).

2102155264 is an abundant number, since it is smaller than the sum of its proper divisors (2799559736).

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

2102155264 is a wasteful number, since it uses less digits than its factorization.

2102155264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2102155264 is about 45849.2667771252. The cubic root of 2102155264 is about 1281.0171082423.

Adding to 2102155264 its reverse (4625512012), we get a palindrome (6727667276).

The spelling of 2102155264 in words is "two billion, one hundred two million, one hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 128 136 176 187 242 256 272 352 374 484 499 512 544 704 748 968 998 1024 1088 1408 1496 1936 1996 2048 2057 2176 2816 2992 3872 3992 4114 4352 5489 5632 5984 7744 7984 8228 8483 8704 10978 11264 11968 15488 15968 16456 16966 17408 21956 22528 23936 30976 31936 32912 33932 34816 43912 47872 60379 61952 63872 65824 67864 87824 93313 95744 120758 123904 127744 131648 135728 175648 186626 191488 241516 247808 255488 263296 271456 351296 373252 382976 483032 510976 526592 542912 702592 746504 966064 1021952 1026443 1053184 1085824 1405184 1493008 1932128 2052886 2106368 2171648 2810368 2986016 3864256 4105772 4212736 4343296 5620736 5972032 7728512 8211544 8686592 11241472 11944064 15457024 16423088 17373184 23888128 30914048 32846176 47776256 61828096 65692352 95552512 123656192 131384704 191105024 262769408 525538816 1051077632 2102155264