Search a number
-
+
402103010100 = 2235211347351151
BaseRepresentation
bin1011101100111110011…
…01010000001100110100
31102102220020202100111210
411312133031100030310
523042001332310400
6504420143001420
741023326122541
oct5663715201464
91372806670453
10402103010100
11145592736a80
1265b1b599270
132bbc224130c
14156675d3bc8
15a6d6357950
hex5d9f350334

402103010100 has 144 divisors (see below), whose sum is σ = 1272844532736. Its totient is φ = 97198320000.

The previous prime is 402103010081. The next prime is 402103010123. The reversal of 402103010100 is 1010301204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent 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, 969525 + ... + 1320675.

It is an arithmetic number, because the mean of its divisors is an integer number (8839198144).

Almost surely, 2402103010100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402103010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636422266368).

402103010100 is an abundant number, since it is smaller than the sum of its proper divisors (870741522636).

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

402103010100 is a wasteful number, since it uses less digits than its factorization.

402103010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351526 (or 351519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 402103010100 its reverse (1010301204), we get a palindrome (403113311304).

The spelling of 402103010100 in words is "four hundred two billion, one hundred three million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 347 550 660 694 825 1041 1100 1388 1650 1735 2082 3300 3470 3817 4164 5205 6940 7634 8675 10410 11451 15268 17350 19085 20820 22902 26025 34700 38170 45804 52050 57255 76340 95425 104100 114510 190850 229020 286275 351151 381700 572550 702302 1053453 1145100 1404604 1755755 2106906 3511510 3862661 4213812 5267265 7023020 7725322 8778775 10534530 11587983 15450644 17557550 19313305 21069060 23175966 26336325 35115100 38626610 46351932 52672650 57939915 77253220 96566525 105345300 115879830 121849397 193133050 231759660 243698794 289699575 365548191 386266100 487397588 579399150 609246985 731096382 1158798300 1218493970 1340343367 1462192764 1827740955 2436987940 2680686734 3046234925 3655481910 4021030101 5361373468 6092469850 6701716835 7310963820 8042060202 9138704775 12184939700 13403433670 16084120404 18277409550 20105150505 26806867340 33508584175 36554819100 40210301010 67017168350 80420602020 100525752525 134034336700 201051505050 402103010100