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101002111002 = 23413413473371
BaseRepresentation
bin101111000010000110…
…0011110100000011010
3100122201000021212010000
41132010030132200122
53123323020023002
6114222201433430
710203632530632
oct1360414364032
9318630255100
10101002111002
1139920070a11
12176a949b876
1396a8308730
144c6219b6c2
1529621d661c
hex178431e81a

101002111002 has 160 divisors (see below), whose sum is σ = 250467142464. Its totient is φ = 30223238400.

The previous prime is 101002110997. The next prime is 101002111019. The reversal of 101002111002 is 200111200101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29960377 + ... + 29963747.

Almost surely, 2101002111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125233571232).

101002111002 is an abundant number, since it is smaller than the sum of its proper divisors (149465031462).

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

101002111002 is a wasteful number, since it uses less digits than its factorization.

101002111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002111002 its reverse (200111200101), we get a palindrome (301113311103).

The spelling of 101002111002 in words is "one hundred one billion, two million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 246 347 351 369 533 694 702 738 1041 1053 1066 1107 1599 2082 2106 2214 3123 3198 3321 3371 4511 4797 6246 6642 6742 9022 9369 9594 10113 13533 14227 14391 18738 20226 27066 28107 28454 28782 30339 40599 42681 43173 43823 56214 60678 81198 85362 86346 87646 91017 121797 128043 131469 138211 182034 184951 243594 256086 262938 273051 276422 365391 369902 384129 394407 414633 546102 554853 730782 768258 788814 829266 1109706 1152387 1169737 1183221 1243899 1664559 1796743 2304774 2339474 2366442 2487798 3329118 3509211 3549663 3593486 3731697 4993677 5390229 7018422 7099326 7463394 9987354 10527633 10780458 11195091 14981031 15206581 16170687 21055266 22390182 29962062 30413162 31582899 32341374 45619743 47959217 48512061 63165798 91239486 94748697 95918434 97024122 136859229 143877651 145536183 189497394 273718458 287755302 291072366 410577687 431632953 623469821 821155374 863265906 1231733061 1246939642 1294898859 1870409463 2463466122 2589797718 3740818926 3884696577 5611228389 7769393154 11222456778 16833685167 33667370334 50501055501 101002111002