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2114230404100 = 2252531678872693
BaseRepresentation
bin11110110001000001111…
…100111100010000000100
321111010012100111121210111
4132301001330330100010
5234114420440412400
64255133011002404
7305514412630123
oct36610174742004
97433170447714
102114230404100
11745704a44131
122a1903599404
131244a9323b69
1474487841aba
1539ee16ad3ba
hex1ec41f3c404

2114230404100 has 144 divisors (see below), whose sum is σ = 4709484073728. Its totient is φ = 823531471360.

The previous prime is 2114230404073. The next prime is 2114230404257. The reversal of 2114230404100 is 14040324112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785082354 + ... + 785085046.

It is an arithmetic number, because the mean of its divisors is an integer number (32704750512).

Almost surely, 22114230404100 is an apocalyptic number.

2114230404100 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 2114230404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354742036864).

2114230404100 is an abundant number, since it is smaller than the sum of its proper divisors (2595253669628).

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

2114230404100 is a wasteful number, since it uses less digits than its factorization.

2114230404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2114230404100 its reverse (14040324112), we get a palindrome (2128270728212).

The spelling of 2114230404100 in words is "two trillion, one hundred fourteen billion, two hundred thirty million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 167 212 265 334 530 668 835 887 1060 1325 1670 1774 2650 2693 3340 3548 4175 4435 5300 5386 8350 8851 8870 10772 13465 16700 17702 17740 22175 26930 35404 44255 44350 47011 53860 67325 88510 88700 94022 134650 142729 148129 177020 188044 221275 235055 269300 285458 296258 442550 449731 470110 570916 592516 713645 740645 885100 899462 940220 1175275 1427290 1481290 1798924 2248655 2350550 2388691 2854580 2962580 3568225 3703225 4497310 4701100 4777382 7136450 7406450 7850837 8994620 9554764 11243275 11943455 14272900 14812900 15701674 22486550 23835743 23886910 31403348 39254185 44973100 47671486 47773820 59717275 78508370 95342972 119178715 119434550 126600623 157016740 196270925 238357430 238869100 253201246 392541850 398911397 476714860 506402492 595893575 633003115 785083700 797822794 1191787150 1266006230 1595645588 1994556985 2383574300 2532012460 3165015575 3989113970 6330031150 7978227940 9972784925 12660062300 19945569850 21142304041 39891139700 42284608082 84569216164 105711520205 211423040410 422846080820 528557601025 1057115202050 2114230404100