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102202021312 = 26233131249
BaseRepresentation
bin101111100101110110…
…1110001010111000000
3100202210122010121121121
41133023231301113000
53133302204140222
6114541224002024
710245442563466
oct1371355612700
9322718117547
10102202021312
113a386416326
1217983300314
139839a9b131
144d376a6836
1529d27055c7
hex17cbb715c0

102202021312 has 56 divisors (see below), whose sum is σ = 212026500000. Its totient is φ = 48878855168.

The previous prime is 102202021283. The next prime is 102202021333. The reversal of 102202021312 is 213120202201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713064 + ... + 844312.

It is an arithmetic number, because the mean of its divisors is an integer number (3786187500).

Almost surely, 2102202021312 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 102202021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106013250000).

102202021312 is an abundant number, since it is smaller than the sum of its proper divisors (109824478688).

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

102202021312 is an frugal number, since it uses more digits than its factorization.

102202021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131330 (or 131274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102202021312 its reverse (213120202201), we get a palindrome (315322223513).

The spelling of 102202021312 in words is "one hundred two billion, two hundred two million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 12167 16928 24334 33856 48668 97336 131249 194672 262498 389344 524996 778688 1049992 2099984 3018727 4199968 6037454 8399936 12074908 24149816 48299632 69430721 96599264 138861442 193198528 277722884 555445768 1110891536 1596906583 2221783072 3193813166 4443566144 6387626332 12775252664 25550505328 51101010656 102202021312