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102220311120 = 24354127138333
BaseRepresentation
bin101111100110011001…
…1100010101001010000
3100202211220112211111220
41133030303202221100
53133321344423440
6114543120005040
710246054210524
oct1371463425120
9322756484456
10102220311120
113a395778774
1217989460780
139840802cc5
144d39ca7d84
1529d41198d0
hex17ccce2a50

102220311120 has 160 divisors (see below), whose sum is σ = 325818146304. Its totient is φ = 26495078400.

The previous prime is 102220311103. The next prime is 102220311133. The reversal of 102220311120 is 21113022201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102220311120.

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, 2647474 + ... + 2685806.

Almost surely, 2102220311120 is an apocalyptic number.

102220311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162909073152).

102220311120 is an abundant number, since it is smaller than the sum of its proper divisors (223597835184).

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

102220311120 is a wasteful number, since it uses less digits than its factorization.

102220311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38661 (or 38655 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102220311120 its reverse (21113022201), we get a palindrome (123333333321).

The spelling of 102220311120 in words is "one hundred two billion, two hundred twenty million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 271 328 410 492 542 615 656 813 820 984 1084 1230 1355 1626 1640 1968 2168 2460 2710 3252 3280 4065 4336 4920 5420 6504 8130 9840 10840 11111 13008 16260 21680 22222 32520 33333 38333 44444 55555 65040 66666 76666 88888 111110 114999 133332 153332 166665 177776 191665 222220 229998 266664 306664 333330 383330 444440 459996 533328 574995 613328 666660 766660 888880 919992 1149990 1333320 1533320 1571653 1839984 2299980 2666640 3066640 3143306 4599960 4714959 6286612 7858265 9199920 9429918 10388243 12573224 15716530 18859836 20776486 23574795 25146448 31164729 31433060 37719672 41552972 47149590 51941215 62329458 62866120 75439344 83105944 94299180 103882430 124658916 125732240 155823645 166211888 188598360 207764860 249317832 311647290 377196720 415529720 425917963 498635664 623294580 831059440 851835926 1246589160 1277753889 1703671852 2129589815 2493178320 2555507778 3407343704 4259179630 5111015556 6388769445 6814687408 8518359260 10222031112 12777538890 17036718520 20444062224 25555077780 34073437040 51110155560 102220311120