Search a number
-
+
10122303022320 = 2435371318701519
BaseRepresentation
bin1001001101001100100001…
…0001101010010011110000
31022211200102200221112000210
42103103020101222103300
52311320434033203240
633310042151144120
72063212051026426
oct223231021522360
938750380845023
1010122303022320
113252932193975
12117592a975040
135856b5505598
1426dcca28d116
151284871b5780
hex934c846a4f0

10122303022320 has 160 divisors (see below), whose sum is σ = 32473237294080. Its totient is φ = 2606278671360.

The previous prime is 10122303022313. The next prime is 10122303022343. The reversal of 10122303022320 is 2322030322101.

It is a happy number.

It is a super-2 number, since 2×101223030223202 (a number of 27 digits) contains 22 as substring.

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, 3187480 + ... + 5514039.

It is an arithmetic number, because the mean of its divisors is an integer number (202957733088).

Almost surely, 210122303022320 is an apocalyptic number.

10122303022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122303022320 is an abundant number, since it is smaller than the sum of its proper divisors (22350934271760).

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

10122303022320 is a wasteful number, since it uses less digits than its factorization.

10122303022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701703 (or 8701697 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10122303022320 its reverse (2322030322101), we get a palindrome (12444333344421).

The spelling of 10122303022320 in words is "ten trillion, one hundred twenty-two billion, three hundred three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 131 148 185 222 240 262 296 370 393 444 524 555 592 655 740 786 888 1048 1110 1310 1480 1572 1776 1965 2096 2220 2620 2960 3144 3930 4440 4847 5240 6288 7860 8880 9694 10480 14541 15720 19388 24235 29082 31440 38776 48470 58164 72705 77552 96940 116328 145410 193880 232656 290820 387760 581640 1163280 8701519 17403038 26104557 34806076 43507595 52209114 69612152 87015190 104418228 130522785 139224304 174030380 208836456 261045570 321956203 348060760 417672912 522091140 643912406 696121520 965868609 1044182280 1139898989 1287824812 1609781015 1931737218 2088364560 2279797978 2575649624 3219562030 3419696967 3863474436 4559595956 4829343045 5151299248 5699494945 6439124060 6839393934 7726948872 9119191912 9658686090 11398989890 12878248120 13678787868 15453897744 17098484835 18238383824 19317372180 22797979780 25756496240 27357575736 34196969670 38634744360 42176262593 45595959560 54715151472 68393939340 77269488720 84352525186 91191919120 126528787779 136787878680 168705050372 210881312965 253057575558 273575757360 337410100744 421762625930 506115151116 632643938895 674820201488 843525251860 1012230302232 1265287877790 1687050503720 2024460604464 2530575755580 3374101007440 5061151511160 10122303022320