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2141420041100 = 2252412053254407
BaseRepresentation
bin11111001010010110100…
…101001011001110001100
321120201101020121021220002
4133022112211023032030
5240041112012303400
64315431011143432
7310466246006624
oct37122645131614
97521336537802
102141420041100
1175619787190a
122a70312a4b78
13126c203a0b72
1475906929884
153aa83701ed5
hex1f29694b38c

2141420041100 has 72 divisors (see below), whose sum is σ = 4762557447648. Its totient is φ = 835265779200.

The previous prime is 2141420041063. The next prime is 2141420041177. The reversal of 2141420041100 is 11400241412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8290097 + ... + 8544503.

Almost surely, 22141420041100 is an apocalyptic number.

2141420041100 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 2141420041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381278723824).

2141420041100 is an abundant number, since it is smaller than the sum of its proper divisors (2621137406548).

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

2141420041100 is a wasteful number, since it uses less digits than its factorization.

2141420041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256515 (or 256508 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2141420041100 its reverse (11400241412), we get a palindrome (2152820282512).

The spelling of 2141420041100 in words is "two trillion, one hundred forty-one billion, four hundred twenty million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2053 4100 4106 8212 10265 20530 41060 51325 84173 102650 168346 205300 254407 336692 420865 508814 841730 1017628 1272035 1683460 2104325 2544070 4208650 5088140 6360175 8417300 10430687 12720350 20861374 25440700 41722748 52153435 104306870 208613740 260767175 521534350 522297571 1043068700 1044595142 2089190284 2611487855 5222975710 10445951420 13057439275 21414200411 26114878550 42828400822 52229757100 85656801644 107071002055 214142004110 428284008220 535355010275 1070710020550 2141420041100