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106211653532 = 221931210713591
BaseRepresentation
bin110001011101010110…
…1010011011110011100
3101011011001222000222122
41202322231103132130
53220010140403112
6120443140202112
710450011105365
oct1427255233634
9334131860878
10106211653532
1141053789366
1218702099338
13a0286b2b8a
1451d8006b6c
152b6972e872
hex18bab5379c

106211653532 has 72 divisors (see below), whose sum is σ = 204072462720. Its totient is φ = 48229279200.

The previous prime is 106211653529. The next prime is 106211653553. The reversal of 106211653532 is 235356112601.

106211653532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062116535322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106211653492 and 106211653501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7808057 + ... + 7821647.

It is an arithmetic number, because the mean of its divisors is an integer number (2834339760).

Almost surely, 2106211653532 is an apocalyptic number.

It is an amenable number.

106211653532 is a deficient number, since it is larger than the sum of its proper divisors (97860809188).

106211653532 is a wasteful number, since it uses less digits than its factorization.

106211653532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 106211653532 in words is "one hundred six billion, two hundred eleven million, six hundred fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 4 19 31 38 62 76 107 124 214 428 589 961 1178 1922 2033 2356 3317 3844 4066 6634 8132 13268 13591 18259 27182 36518 54364 63023 73036 102827 126046 205654 252092 258229 411308 421321 516458 842642 1032916 1454237 1685284 1953713 2908474 3907426 5816948 7814852 8005099 13060951 16010198 26121902 27630503 32020396 45081347 52243804 55261006 90162694 110522012 180325388 248158069 496316138 856545593 992632276 1397521757 1713091186 2795043514 3426182372 5590087028 26552913383 53105826766 106211653532