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2011020102 = 233713974219
BaseRepresentation
bin111011111011101…
…1011101101000110
312012011002101222000
41313313123231012
513104310120402
6531315050130
7100556250240
oct16767335506
95164071860
102011020102
11942194193
124815a0946
13260835330
14151127090
15bb83cc1c
hex77ddbb46

2011020102 has 128 divisors (see below), whose sum is σ = 5558246400. Its totient is φ = 524786688.

The previous prime is 2011020061. The next prime is 2011020113. The reversal of 2011020102 is 2010201102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474549 + ... + 478767.

It is an arithmetic number, because the mean of its divisors is an integer number (43423800).

Almost surely, 22011020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779123200).

2011020102 is an abundant number, since it is smaller than the sum of its proper divisors (3547226298).

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

2011020102 is a wasteful number, since it uses less digits than its factorization.

2011020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011020102 is about 44844.3987806727. The cubic root of 2011020102 is about 1262.2308890451.

Adding to 2011020102 its reverse (2010201102), we get a palindrome (4021221204).

It can be divided in two parts, 201 and 1020102, that multiplied together give a palindrome (205040502).

The spelling of 2011020102 in words is "two billion, eleven million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 97 117 126 182 189 194 234 273 291 351 378 546 582 679 702 819 873 1261 1358 1638 1746 2037 2457 2522 2619 3783 4074 4219 4914 5238 6111 7566 8438 8827 11349 12222 12657 17654 18333 22698 25314 26481 29533 34047 36666 37971 52962 54847 59066 68094 75942 79443 88599 109694 113913 158886 164541 177198 227826 238329 265797 329082 383929 409243 476658 493623 531594 767858 797391 818486 987246 1151787 1227729 1480869 1594782 2303574 2455458 2864701 2961738 3455361 3683187 5320159 5729402 6910722 7366374 8594103 10366083 10640318 11049561 15960477 17188206 20732166 22099122 25782309 31920954 37241113 47881431 51564618 74482226 77346927 95762862 111723339 143644293 154693854 223446678 287288586 335170017 670340034 1005510051 2011020102