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1020110021007 = 3711231311465669
BaseRepresentation
bin11101101100000110100…
…10111010000110001111
310121112002012222100011220
432312003102322012033
5113203141131133012
62100344310014423
7133462164052620
oct16660322720617
93545065870156
101020110021007
11363698570370
12145854947413
13752716b525c
14375331aba47
151b806eb608c
hexed834ba18f

1020110021007 has 64 divisors (see below), whose sum is σ = 1783005143040. Its totient is φ = 503017257600.

The previous prime is 1020110020987. The next prime is 1020110021069. The reversal of 1020110021007 is 7001200110201.

It is not a de Polignac number, because 1020110021007 - 214 = 1020110004623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020110021407) 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, 36832 + ... + 1428837.

It is an arithmetic number, because the mean of its divisors is an integer number (27859455360).

Almost surely, 21020110021007 is an apocalyptic number.

1020110021007 is a deficient number, since it is larger than the sum of its proper divisors (762895122033).

1020110021007 is a wasteful number, since it uses less digits than its factorization.

1020110021007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465844.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 1020110021007 its reverse (7001200110201), we get a palindrome (8021310131208).

The spelling of 1020110021007 in words is "one trillion, twenty billion, one hundred ten million, twenty-one thousand, seven".

Divisors: 1 3 7 11 21 23 33 69 77 131 161 231 253 393 483 759 917 1441 1771 2751 3013 4323 5313 9039 10087 21091 30261 33143 63273 99429 232001 696003 1465669 4397007 10259683 16122359 30779049 33710387 48367077 101131161 112856513 192002639 235972709 338569539 370814257 576007917 707918127 1112442771 1344018473 2112029029 2595699799 4032055419 4416060697 6336087087 7787099397 13248182091 14784203203 30912424879 44352609609 48576667667 92737274637 145730003001 340036673669 1020110021007