Search a number
-
+
2212110021120 = 29351867154277
BaseRepresentation
bin100000001100001100000…
…010000011001000000000
321211110211202021100102020
4200030030002003020000
5242220400131133440
64412121310521440
7315551101636056
oct40141402031000
97743752240366
102212110021120
1178317248a0aa
122b887b206280
131307a7759bcc
14790d102c1d6
153c81e6a63d0
hex2030c083200

2212110021120 has 160 divisors (see below), whose sum is σ = 7075672895808. Its totient is φ = 589576224768.

The previous prime is 2212110021103. The next prime is 2212110021157. The reversal of 2212110021120 is 211200112122.

It is a tau number, because it is divible by the number of its divisors (160).

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 2212110021120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14261422 + ... + 14415698.

Almost surely, 22212110021120 is an apocalyptic number.

2212110021120 is a gapful number since it is divisible by the number (20) 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 2212110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537836447904).

2212110021120 is an abundant number, since it is smaller than the sum of its proper divisors (4863562874688).

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

2212110021120 is a wasteful number, since it uses less digits than its factorization.

2212110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156170 (or 156154 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2212110021120 its reverse (211200112122), we get a palindrome (2423310133242).

It can be divided in two parts, 221211002 and 1120, that added together give a palindrome (221212122).

The spelling of 2212110021120 in words is "two trillion, two hundred twelve billion, one hundred ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1867 1920 2560 3734 3840 5601 7468 7680 9335 11202 14936 18670 22404 28005 29872 37340 44808 56010 59744 74680 89616 112020 119488 149360 154277 179232 224040 238976 298720 308554 358464 448080 462831 477952 597440 617108 716928 771385 896160 925662 955904 1194880 1234216 1433856 1542770 1792320 1851324 2314155 2389760 2468432 2867712 3085540 3584640 3702648 4628310 4779520 4936864 6171080 7169280 7405296 9256620 9873728 12342160 14338560 14810592 18513240 19747456 24684320 29621184 37026480 39494912 49368640 59242368 74052960 78989824 98737280 118484736 148105920 197474560 236969472 288035159 296211840 394949120 576070318 592423680 864105477 1152140636 1184847360 1440175795 1728210954 2304281272 2880351590 3456421908 4320527385 4608562544 5760703180 6912843816 8641054770 9217125088 11521406360 13825687632 17282109540 18434250176 23042812720 27651375264 34564219080 36868500352 46085625440 55302750528 69128438160 73737000704 92171250880 110605501056 138256876320 147474001408 184342501760 221211002112 276513752640 368685003520 442422004224 553027505280 737370007040 1106055010560 2212110021120