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102022201110 = 2354727121683
BaseRepresentation
bin101111100000011111…
…1110011111100010110
3100202100002202210200010
41133000333303330112
53132420140413420
6114511321501050
710241130254364
oct1370077637426
9322302683603
10102022201110
113a2a3966795
1217933041786
13980b75b04b
144d1b858634
1529c1a354e0
hex17c0ff3f16

102022201110 has 96 divisors (see below), whose sum is σ = 253709044992. Its totient is φ = 26250831040.

The previous prime is 102022201097. The next prime is 102022201111. The reversal of 102022201110 is 11102220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4694329 + ... + 4716011.

It is an arithmetic number, because the mean of its divisors is an integer number (2642802552).

Almost surely, 2102022201110 is an apocalyptic number.

102022201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126854522496).

102022201110 is an abundant number, since it is smaller than the sum of its proper divisors (151686843882).

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

102022201110 is a wasteful number, since it uses less digits than its factorization.

102022201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21858 (or 21811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102022201110 its reverse (11102220201), we get a palindrome (113124421311).

The spelling of 102022201110 in words is "one hundred two billion, twenty-two million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 705 710 1065 1410 2130 2209 3337 4418 6627 6674 10011 11045 13254 16685 20022 21683 22090 33135 33370 43366 50055 65049 66270 100110 108415 130098 156839 216830 313678 325245 470517 650490 784195 941034 1019101 1539493 1568390 2038202 2352585 3057303 3078986 4618479 4705170 5095505 6114606 7697465 9236958 10191010 15286515 15394930 23092395 30573030 46184790 47897747 72356171 95795494 143693241 144712342 217068513 239488735 287386482 361780855 434137026 478977470 718466205 723561710 1085342565 1436932410 2170685130 3400740037 6801480074 10202220111 17003700185 20404440222 34007400370 51011100555 102022201110