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402214402100 = 2252723199125539
BaseRepresentation
bin1011101101001011101…
…10001011100000110100
31102110012000100122121102
411312211312023200310
523042213341331400
6504435202305232
741026151002550
oct5664566134064
91373160318542
10402214402100
1114563a5a9485
1265b50958218
132bc0c343144
141567830c860
15a6e100c9d5
hex5da5d8b834

402214402100 has 144 divisors (see below), whose sum is σ = 1046099712000. Its totient is φ = 131242446720.

The previous prime is 402214402069. The next prime is 402214402237. The reversal of 402214402100 is 1204412204.

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

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, 3141131 + ... + 3266669.

Almost surely, 2402214402100 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 402214402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523049856000).

402214402100 is an abundant number, since it is smaller than the sum of its proper divisors (643885309900).

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

402214402100 is a wasteful number, since it uses less digits than its factorization.

402214402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125782 (or 125775 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 402214402100 its reverse (1204412204), we get a palindrome (403418814304).

The spelling of 402214402100 in words is "four hundred two billion, two hundred fourteen million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 199 230 322 350 398 460 575 644 700 796 805 995 1150 1393 1610 1990 2300 2786 3220 3980 4025 4577 4975 5572 6965 8050 9154 9950 13930 16100 18308 19900 22885 27860 32039 34825 45770 64078 69650 91540 114425 125539 128156 139300 160195 228850 251078 320390 457700 502156 627695 640780 800975 878773 1255390 1601950 1757546 2510780 2887397 3138475 3203900 3515092 4393865 5774794 6276950 8787730 11549588 12553900 14436985 17575460 20211779 21969325 24982261 28873970 40423558 43938650 49964522 57747940 72184925 80847116 87877300 99929044 101058895 124911305 144369850 174875827 202117790 249822610 288739700 349751654 404235580 499645220 505294475 574592003 624556525 699503308 874379135 1010588950 1149184006 1249113050 1748758270 2021177900 2298368012 2498226100 2872960015 3497516540 4022144021 4371895675 5745920030 8044288042 8743791350 11491840060 14364800075 16088576084 17487582700 20110720105 28729600150 40221440210 57459200300 80442880420 100553600525 201107201050 402214402100