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100021120002 = 23429316611039
BaseRepresentation
bin101110100100110111…
…0010010110000000010
3100120011122101100110000
41131021232102300002
53114320401320002
6113540555420430
710140421330566
oct1351156226002
9316148340400
10100021120002
1139467350951
1217474a54716
13957ccc589b
144babb9b6a6
15290600c61c
hex1749b92c02

100021120002 has 160 divisors (see below), whose sum is σ = 239921510400. Its totient is φ = 31075228800.

The previous prime is 100021119959. The next prime is 100021120051. The reversal of 100021120002 is 200021120001.

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, 96266199 + ... + 96267237.

It is an arithmetic number, because the mean of its divisors is an integer number (1499509440).

Almost surely, 2100021120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119960755200).

100021120002 is an abundant number, since it is smaller than the sum of its proper divisors (139900390398).

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

100021120002 is a wasteful number, since it uses less digits than its factorization.

100021120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100021120002 its reverse (200021120001), we get a palindrome (300042240003).

Subtracting 100021120002 from its reverse (200021120001), we obtain a palindrome (99999999999).

The spelling of 100021120002 in words is "one hundred billion, twenty-one million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 81 87 93 162 174 186 261 279 522 558 661 783 837 899 1039 1322 1566 1674 1798 1983 2078 2349 2511 2697 3117 3966 4698 5022 5394 5949 6234 8091 9351 11898 16182 17847 18702 19169 20491 24273 28053 30131 32209 35694 38338 40982 48546 53541 56106 57507 60262 61473 64418 72819 84159 90393 96627 107082 115014 122946 145638 168318 172521 180786 184419 193254 271179 289881 345042 368838 517563 542358 553257 579762 594239 686779 813537 869643 934061 1035126 1106514 1188478 1373558 1552689 1627074 1659771 1739286 1782717 1868122 2060337 2440611 2608929 2802183 3105378 3319542 3565434 4120674 4881222 5217858 5348151 5604366 6181011 8406549 10696302 12362022 16044453 16813098 18543033 19916591 21290149 25219647 32088906 37086066 39833182 42580298 48133359 50439294 55629099 59749773 63870447 75658941 96266718 111258198 119499546 127740894 151317882 179249319 191611341 358498638 383222682 537747957 574834023 617414321 1075495914 1149668046 1234828642 1613243871 1724502069 1852242963 3226487742 3449004138 3704485926 5556728889 11113457778 16670186667 33340373334 50010560001 100021120002