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21302022322230 = 23513292577328669
BaseRepresentation
bin1001101011111110000110…
…11110010011100000110110
32210102110020120011120110020
410311333003132103200312
510243003020203302410
6113150003003110010
74326006654115416
oct465770336234066
983373216146406
1021302022322230
116873156292911
122480584212306
13bb6a0636c940
14539048232646
1526e1ab5cca70
hex135fc3793836

21302022322230 has 128 divisors (see below), whose sum is σ = 57177697046400. Its totient is φ = 5043061653504.

The previous prime is 21302022322219. The next prime is 21302022322241. The reversal of 21302022322230 is 3222322020312.

It is an interprime number because it is at equal distance from previous prime (21302022322219) and next prime (21302022322241).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21302022322230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757665 + ... + 6571004.

It is an arithmetic number, because the mean of its divisors is an integer number (446700758175).

Almost surely, 221302022322230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21302022322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28588848523200).

21302022322230 is an abundant number, since it is smaller than the sum of its proper divisors (35875674724170).

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

21302022322230 is a wasteful number, since it uses less digits than its factorization.

21302022322230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328978.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21302022322230 its reverse (3222322020312), we get a palindrome (24524344342542).

The spelling of 21302022322230 in words is "twenty-one trillion, three hundred two billion, twenty-two million, three hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 257 290 377 390 435 514 754 771 870 1131 1285 1542 1885 2262 2570 3341 3770 3855 5655 6682 7453 7710 10023 11310 14906 16705 20046 22359 33410 37265 44718 50115 74530 96889 100230 111795 193778 223590 290667 484445 581334 968890 1453335 2906670 7328669 14657338 21986007 36643345 43972014 73286690 95272697 109930035 190545394 212531401 219860070 285818091 425062802 476363485 571636182 637594203 952726970 1062657005 1275188406 1429090455 1883467933 2125314010 2762908213 2858180910 3187971015 3766935866 5525816426 5650403799 6375942030 8288724639 9417339665 11300807598 13814541065 16577449278 18834679330 24485083129 27629082130 28252018995 41443623195 48970166258 54620570057 56504037990 73455249387 82887246390 109241140114 122425415645 146910498774 163861710171 244850831290 273102850285 327723420342 367276246935 546205700570 710067410741 734552493870 819308550855 1420134821482 1638617101710 2130202232223 3550337053705 4260404464446 7100674107410 10651011161115 21302022322230