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101102220219 = 37112137873889
BaseRepresentation
bin101111000101000101…
…0010111001110111011
3100122221222122221010210
41132022022113032323
53124024132021334
6114240135242203
710206256456350
oct1361212271673
9318858587123
10101102220219
1139971627500
1217716b19363
1396c2c89b60
144c715ba627
15296adad5e9
hex178a2973bb

101102220219 has 96 divisors (see below), whose sum is σ = 182644026880. Its totient is φ = 48406533120.

The previous prime is 101102220217. The next prime is 101102220229. The reversal of 101102220219 is 912022201101.

It is not a de Polignac number, because 101102220219 - 21 = 101102220217 is a prime.

It is a super-2 number, since 2×1011022202192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101102220195 and 101102220204.

It is not an unprimeable number, because it can be changed into a prime (101102220211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25995027 + ... + 25998915.

Almost surely, 2101102220219 is an apocalyptic number.

101102220219 is a deficient number, since it is larger than the sum of its proper divisors (81541806661).

101102220219 is a wasteful number, since it uses less digits than its factorization.

101102220219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4710 counting only the distinct ones).

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

The spelling of 101102220219 in words is "one hundred one billion, one hundred two million, two hundred twenty thousand, two hundred nineteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 787 847 1001 1573 2361 2541 3003 3889 4719 5509 8657 10231 11011 11667 16527 25971 27223 30693 33033 42779 50557 60599 71617 81669 95227 112541 128337 151671 181797 214851 285681 299453 337623 353899 470569 556127 666589 787787 898359 1061697 1237951 1411707 1668381 1999767 2363361 3060643 3293983 3713853 3892889 6117397 8665657 9181929 9881949 11678667 18352191 21424501 25996971 33667073 39788359 42821779 64273503 101001219 119365077 128465337 235669511 278518513 370337803 437671949 707008533 835555539 1111013409 1313015847 2592364621 3063703643 4814391439 7777093863 9191110929 14443174317 33700740073 101102220219