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101422620 = 223251389487
BaseRepresentation
bin1100000101110…
…01011000011100
321001211210200100
412002321120130
5201431010440
614021501100
72341035525
oct602713034
9231753610
10101422620
1152283352
1229b71790
13180211b0
14d68184c
158d86230
hex60b961c

101422620 has 144 divisors (see below), whose sum is σ = 335724480. Its totient is φ = 24634368.

The previous prime is 101422619. The next prime is 101422621. The reversal of 101422620 is 26224101.

101422620 is a `hidden beast` number, since 1 + 0 + 1 + 42 + 2 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (101422619) and next prime (101422621).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101422593 and 101422602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208017 + ... + 208503.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 2101422620 is an apocalyptic number.

101422620 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 101422620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167862240).

101422620 is an abundant number, since it is smaller than the sum of its proper divisors (234301860).

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

101422620 is a wasteful number, since it uses less digits than its factorization.

101422620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101422620 is about 10070.8798026786. The cubic root of 101422620 is about 466.3495998171.

Adding to 101422620 its reverse (26224101), we get a palindrome (127646721).

The spelling of 101422620 in words is "one hundred one million, four hundred twenty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 89 90 117 130 156 178 180 195 234 260 267 356 390 445 468 487 534 585 780 801 890 974 1068 1157 1170 1335 1461 1602 1780 1948 2314 2340 2435 2670 2922 3204 3471 4005 4383 4628 4870 5340 5785 5844 6331 6942 7305 8010 8766 9740 10413 11570 12662 13884 14610 16020 17355 17532 18993 20826 21915 23140 25324 29220 31655 34710 37986 41652 43343 43830 52065 56979 63310 69420 75972 86686 87660 94965 104130 113958 126620 130029 173372 189930 208260 216715 227916 260058 284895 379860 390087 433430 520116 563459 569790 650145 780174 866860 1126918 1139580 1300290 1560348 1690377 1950435 2253836 2600580 2817295 3380754 3900870 5071131 5634590 6761508 7801740 8451885 10142262 11269180 16903770 20284524 25355655 33807540 50711310 101422620