Search a number
-
+
122220100211020 = 22578391366976123
BaseRepresentation
bin11011110010100010010101…
…101010000101000101001100
3121000202010102221000002022221
4123302202111222011011030
5112004423231123223040
61111535050001145124
734513053006464440
oct3362422552050514
9530663387002287
10122220100211020
1135a41287330239
121185b0a832b1a4
1353273c93736a6
1422276ad330820
15e1e35a51a74a
hex6f2895a8514c

122220100211020 has 96 divisors (see below), whose sum is σ = 293703200179200. Its totient is φ = 41850477391104.

The previous prime is 122220100210981. The next prime is 122220100211107. The reversal of 122220100211020 is 20112001022221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122220100210985 and 122220100211003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605522679 + ... + 1605598801.

It is an arithmetic number, because the mean of its divisors is an integer number (3059408335200).

Almost surely, 2122220100211020 is an apocalyptic number.

122220100211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220100211020 is an abundant number, since it is smaller than the sum of its proper divisors (171483099968180).

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

122220100211020 is a wasteful number, since it uses less digits than its factorization.

122220100211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90647 (or 90645 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122220100211020 its reverse (20112001022221), we get a palindrome (142332101233241).

The spelling of 122220100211020 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 839 1678 3356 4195 5873 8390 11746 13669 16780 23492 27338 29365 54676 58730 68345 76123 95683 117460 136690 152246 191366 273380 304492 380615 382732 478415 532861 761230 956830 1065722 1522460 1913660 2131444 2664305 5328610 10657220 11468291 22936582 45873164 57341455 63867197 80278037 114682910 127734394 160556074 229365820 255468788 319335985 321112148 401390185 447070379 638671970 802780370 894140758 1040525287 1277343940 1605560740 1788281516 2081050574 2235351895 4162101148 4470703790 5202626435 7283677009 8941407580 10405252870 14567354018 20810505740 29134708036 36418385045 72836770090 145673540180 873000715793 1746001431586 3492002863172 4365003578965 6111005010551 8730007157930 12222010021102 17460014315860 24444020042204 30555025052755 61110050105510 122220100211020