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106510651215220 = 22573734136024583
BaseRepresentation
bin11000001101111011110001…
…100001111100110101110100
3111222010022121102012120220001
4120031323301201330311310
5102430032303202341340
61014310152341321044
731302066141312520
oct3015736141746564
9458108542176801
10106510651215220
1130a34a0597a72a
12bb42589706184
134757bb01cc105
141c43200662d80
15c4a8be4d129a
hex60def187cd74

106510651215220 has 96 divisors (see below), whose sum is σ = 262611327379968. Its totient is φ = 35520549898752.

The previous prime is 106510651215187. The next prime is 106510651215233. The reversal of 106510651215220 is 22512156015601.

It is a super-2 number, since 2×1065106512152202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 106510651215220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14667049 + ... + 20691631.

It is an arithmetic number, because the mean of its divisors is an integer number (2735534660208).

Almost surely, 2106510651215220 is an apocalyptic number.

106510651215220 is a gapful number since it is divisible by the number (10) 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 106510651215220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131305663689984).

106510651215220 is an abundant number, since it is smaller than the sum of its proper divisors (156100676164748).

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

106510651215220 is a wasteful number, since it uses less digits than its factorization.

106510651215220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028049 (or 6028047 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 106510651215220 in words is "one hundred six trillion, five hundred ten billion, six hundred fifty-one million, two hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 3413 5180 6826 13652 17065 23891 34130 47782 68260 95564 119455 126281 238910 252562 477820 505124 631405 883967 1262810 1767934 2525620 3535868 4419835 6024583 8839670 12049166 17679340 24098332 30122915 42172081 60245830 84344162 120491660 168688324 210860405 222909571 421720810 445819142 843441620 891638284 1114547855 1560366997 2229095710 3120733994 4458191420 6241467988 7801834985 15603669970 20561901779 31207339940 41123803558 82247607116 102809508895 143933312453 205619017790 287866624906 411238035580 575733249812 719666562265 760790365823 1439333124530 1521580731646 2878666249060 3043161463292 3803951829115 5325532560761 7607903658230 10651065121522 15215807316460 21302130243044 26627662803805 53255325607610 106510651215220