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100220120002119 = 3132887316370457
BaseRepresentation
bin10110110010011001010000…
…101001101110111001000111
3111010211221122110221012222210
4112302121100221232321013
5101114001301210031434
6553052253150154503
730052444000243455
oct2662312051567107
9433757573835883
10100220120002119
1129a2a12900a7a7
12b2a73b74b2a33
1343bc941967900
141aa69730d59d5
15b8be4e2b5ee9
hex5b2650a6ee47

100220120002119 has 48 divisors (see below), whose sum is σ = 144907489665792. Its totient is φ = 61584038440704.

The previous prime is 100220120002099. The next prime is 100220120002151. The reversal of 100220120002119 is 911200021022001.

It is not a de Polignac number, because 100220120002119 - 223 = 100220111613511 is a prime.

It is a super-2 number, since 2×1002201200021192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220120002095 and 100220120002104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220120002169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422394339 + ... + 1422464795.

It is an arithmetic number, because the mean of its divisors is an integer number (3018906034704).

Almost surely, 2100220120002119 is an apocalyptic number.

100220120002119 is a deficient number, since it is larger than the sum of its proper divisors (44687369663673).

100220120002119 is a wasteful number, since it uses less digits than its factorization.

100220120002119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74536 (or 74523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 100220120002119 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty million, two thousand, one hundred nineteen".

Divisors: 1 3 13 39 169 507 887 2661 3163 9489 11531 34593 41119 70457 123357 149903 211371 449709 534547 915941 1603641 2747823 2805581 8416743 11907233 35721699 36472553 62495359 109417659 187486077 222855491 474143189 668566473 812439667 1422429567 2437319001 2897121383 8691364149 10561715671 31685147013 37662577979 112987733937 197672820517 593018461551 2569746666721 7709240000163 33406706667373 100220120002119