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110431144002420 = 22345312198947511
BaseRepresentation
bin11001000110111111000001…
…000111000100001101110100
3112111000010002022001101210000
4121012333001013010031310
5103433300440331034140
61030511211152031300
732155246460210463
oct3106770107041564
9474003068041700
10110431144002420
113220664894556a
1210476366832530
1349807c5cc0aa7
141d3ac784629da
15cb787a3ada30
hex646fc11c4374

110431144002420 has 120 divisors (see below), whose sum is σ = 357601640191488. Its totient is φ = 28498359729600.

The previous prime is 110431144002401. The next prime is 110431144002427. The reversal of 110431144002420 is 24200441134011.

110431144002420 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 3 + 1 + 14 + 400 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110431144002427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1099423536 + ... + 1099523975.

Almost surely, 2110431144002420 is an apocalyptic number.

110431144002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110431144002420 is an abundant number, since it is smaller than the sum of its proper divisors (247170496189068).

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

110431144002420 is a wasteful number, since it uses less digits than its factorization.

110431144002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198947563 (or 2198947552 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 110431144002420 its reverse (24200441134011), we get a palindrome (134631585136431).

The spelling of 110431144002420 in words is "one hundred ten trillion, four hundred thirty-one billion, one hundred forty-four million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 50220 2198947511 4397895022 6596842533 8795790044 10994737555 13193685066 19790527599 21989475110 26387370132 32984212665 39581055198 43978950220 59371582797 65968425330 68167372841 79162110396 98952637995 118743165594 131936850660 136334745682 178114748391 197905275990 204502118523 237486331188 272669491364 296857913985 340836864205 356229496782 395810551980 409004237046 593715827970 613506355569 681673728410 712458993564 818008474092 890573741955 1022510592615 1187431655940 1227012711138 1363347456820 1781147483910 1840519066707 2045021185230 2454025422276 3067531777845 3562294967820 3681038133414 4090042370460 5521557200121 6135063555690 7362076266828 9202595333535 11043114400242 12270127111380 18405190667070 22086228800484 27607786000605 36810381334140 55215572001210 110431144002420