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100021000212 = 223273755719259
BaseRepresentation
bin101110100100110110…
…1110101100000010100
3100120011122011021010100
41131021231311200110
53114320334001322
6113540553054100
710140420321420
oct1351155654024
9316148137110
10100021000212
1139467279951
12174749b7330
13957cc831c3
144babb69b80
152905ed6dac
hex1749b75814

100021000212 has 144 divisors (see below), whose sum is σ = 297307221120. Its totient is φ = 27753705216.

The previous prime is 100021000193. The next prime is 100021000223. The reversal of 100021000212 is 212000120001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100021000194 and 100021000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5183839 + ... + 5203097.

It is an arithmetic number, because the mean of its divisors is an integer number (2064633480).

Almost surely, 2100021000212 is an apocalyptic number.

100021000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148653610560).

100021000212 is an abundant number, since it is smaller than the sum of its proper divisors (197286220908).

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

100021000212 is a wasteful number, since it uses less digits than its factorization.

100021000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19870 (or 19865 counting only the distinct ones).

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

Adding to 100021000212 its reverse (212000120001), we get a palindrome (312021120213).

The spelling of 100021000212 in words is "one hundred billion, twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 557 666 777 1036 1114 1332 1554 1671 2228 2331 3108 3342 3899 4662 5013 6684 7798 9324 10026 11697 15596 19259 20052 20609 23394 35091 38518 41218 46788 57777 61827 70182 77036 82436 115554 123654 134813 140364 144263 173331 185481 231108 247308 269626 288526 346662 370962 404439 432789 539252 577052 693324 712583 741924 808878 865578 1213317 1298367 1425166 1617756 1731156 2137749 2426634 2596734 2850332 4275498 4853268 4988081 5193468 6413247 8550996 9976162 10727263 12826494 14964243 19952324 21454526 25652988 29928486 32181789 42909052 44892729 59856972 64363578 75090841 89785458 96545367 128727156 150181682 179570916 193090734 225272523 300363364 386181468 396908731 450545046 675817569 793817462 901090092 1190726193 1351635138 1587634924 2381452386 2703270276 2778361117 3572178579 4762904772 5556722234 7144357158 8335083351 11113444468 14288714316 16670166702 25005250053 33340333404 50010500106 100021000212