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106241112621 = 33717163202859
BaseRepresentation
bin110001011110001110…
…1101011101000101101
3101011020010101201021000
41202330131223220231
53220040211100441
6120450111430513
710450516362060
oct1427435535055
9334203351230
10106241112621
114106937a416
121870bb25439
13a0318288a7
1451dbcb48d7
152b6c0ed2b6
hex18bc76ba2d

106241112621 has 64 divisors (see below), whose sum is σ = 191629670400. Its totient is φ = 56787257088.

The previous prime is 106241112617. The next prime is 106241112631. The reversal of 106241112621 is 126211142601.

106241112621 is a `hidden beast` number, since 1 + 0 + 6 + 24 + 1 + 1 + 12 + 621 = 666.

It is not a de Polignac number, because 106241112621 - 22 = 106241112617 is a prime.

It is a super-2 number, since 2×1062411126212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106241112631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422290 + ... + 625148.

It is an arithmetic number, because the mean of its divisors is an integer number (2994213600).

Almost surely, 2106241112621 is an apocalyptic number.

It is an amenable number.

106241112621 is a deficient number, since it is larger than the sum of its proper divisors (85388557779).

106241112621 is a wasteful number, since it uses less digits than its factorization.

106241112621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203055 (or 203049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 106241112621 in words is "one hundred six billion, two hundred forty-one million, one hundred twelve thousand, six hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 163 189 357 459 489 1071 1141 1467 2771 3213 3423 4401 8313 10269 19397 24939 30807 58191 74817 174573 202859 523719 608577 1420013 1825731 3448603 4260039 5477193 10345809 12780117 24140221 31037427 33066017 38340351 72420663 93112281 99198051 217261989 231462119 297594153 562122289 651785967 694386357 892782459 1686366867 2083159071 3934856023 5059100601 6249477213 11804568069 15177301803 35413704207 106241112621