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102302220021232 = 247113731277174331
BaseRepresentation
bin10111010000101100010111…
…011110111110110111110000
3111102012222220121110011121111
4113100230113132332313300
5101402104421311134412
61001324554023403104
730356043244350040
oct2720542736766760
9442188817404544
10102302220021232
112a662145209050
12b582a325b3494
13451109a42a53a
141b3964d5b3720
15bc61aecd02a7
hex5d0b177bedf0

102302220021232 has 160 divisors (see below), whose sum is σ = 247977624559104. Its totient is φ = 39719793484800.

The previous prime is 102302220021181. The next prime is 102302220021257. The reversal of 102302220021232 is 232120022203201.

It is a super-2 number, since 2×1023022200212322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 586740307 + ... + 586914637.

Almost surely, 2102302220021232 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 102302220021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123988812279552).

102302220021232 is an abundant number, since it is smaller than the sum of its proper divisors (145675404537872).

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

102302220021232 is a wasteful number, since it uses less digits than its factorization.

102302220021232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176007 (or 176001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102302220021232 its reverse (232120022203201), we get a palindrome (334422242224433).

The spelling of 102302220021232 in words is "one hundred two trillion, three hundred two billion, two hundred twenty million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 373 616 746 1232 1277 1492 2554 2611 2984 4103 5108 5222 5968 8206 8939 10216 10444 14047 16412 17878 20432 20888 28094 28721 32824 35756 41776 56188 57442 65648 71512 98329 112376 114884 143024 174331 196658 224752 229768 348662 393316 459536 476321 697324 786632 952642 1220317 1394648 1573264 1905284 1917641 2440634 2789296 3334247 3810568 3835282 4881268 5239531 6668494 7621136 7670564 9762536 10479062 13336988 13423487 15341128 19525072 20958124 26673976 26846974 30682256 36676717 41916248 53347952 53693948 65025463 73353434 83832496 107387896 130050926 146706868 214775792 222620687 260101852 293413736 445241374 455178241 520203704 586827472 715280093 890482748 910356482 1040407408 1430560186 1558344809 1780965496 1820712964 2448827557 2861120372 3116689618 3561930992 3641425928 4897655114 5006960651 5722240744 6233379236 7282851856 9795310228 10013921302 11444481488 12466758472 17141792899 19590620456 20027842604 24933516944 34283585798 39181240912 40055685208 68567171596 80111370416 83037516251 137134343192 166075032502 274268686384 332150065004 581262613757 664300130008 913412678761 1162525227514 1328600260016 1826825357522 2325050455028 3653650715044 4650100910056 6393888751327 7307301430088 9300201820112 12787777502654 14614602860176 25575555005308 51151110010616 102302220021232